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40330110440 = 23553107177791
BaseRepresentation
bin100101100011110111…
…001010010111101000
310212002200012212220002
4211203313022113220
51130044002013230
630305530122132
72625263165624
oct454367122750
9125080185802
1040330110440
1116116328994
127996580348
133a59593699
141d4837c184
1510b0992545
hex963dca5e8

40330110440 has 64 divisors (see below), whose sum is σ = 93319464960. Its totient is φ = 15679655680.

The previous prime is 40330110437. The next prime is 40330110451. The reversal of 40330110440 is 4401103304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137945 + ... + 315735.

It is an arithmetic number, because the mean of its divisors is an integer number (1458116640).

Almost surely, 240330110440 is an apocalyptic number.

40330110440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40330110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46659732480).

40330110440 is an abundant number, since it is smaller than the sum of its proper divisors (52989354520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40330110440 is a wasteful number, since it uses less digits than its factorization.

40330110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177962 (or 177958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40330110440 its reverse (4401103304), we get a palindrome (44731213744).

The spelling of 40330110440 in words is "forty billion, three hundred thirty million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 107 212 214 265 424 428 530 535 856 1060 1070 2120 2140 4280 5671 11342 22684 28355 45368 56710 113420 177791 226840 355582 711164 888955 1422328 1777910 3555820 7111640 9422923 18845846 19023637 37691692 38047274 47114615 75383384 76094548 94229230 95118185 152189096 188458460 190236370 376916920 380472740 760945480 1008252761 2016505522 4033011044 5041263805 8066022088 10082527610 20165055220 40330110440