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40441164192 = 25391113449
BaseRepresentation
bin100101101010011110…
…110011000110100000
310212101102012000000000
4211222132303012200
51130310414223232
630324534300000
72631112136532
oct455236630640
9125342160000
1040441164192
1116172a8a250
127a077b7600
133a765a7570
141d59009852
1510ba5cc27c
hex96a7b31a0

40441164192 has 480 divisors, whose sum is σ = 140616907200. Its totient is φ = 11287019520.

The previous prime is 40441164191. The next prime is 40441164193. The reversal of 40441164192 is 29146114404.

It is a happy number.

40441164192 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 1 + 1 + 641 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40441164191) and next prime (40441164193).

It is a super-2 number, since 2×404411641922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40441164191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90069184 + ... + 90069632.

It is an arithmetic number, because the mean of its divisors is an integer number (292951890).

Almost surely, 240441164192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308453600).

40441164192 is an abundant number, since it is smaller than the sum of its proper divisors (100175743008).

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

40441164192 is an equidigital number, since it uses as much as digits as its factorization.

40441164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 40441164192 its reverse (29146114404), we get a palindrome (69587278596).

The spelling of 40441164192 in words is "forty billion, four hundred forty-one million, one hundred sixty-four thousand, one hundred ninety-two".