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40043212440 = 233571121632417
BaseRepresentation
bin100101010010110000…
…101110111010011000
310211100200100221211020
4211102300232322120
51124002030244230
630221241002440
72615210455410
oct452260567230
9124320327736
1040043212440
1115a89393200
127916483420
133a1200235a
141d1c219640
1510956c0810
hex952c2ee98

40043212440 has 384 divisors, whose sum is σ = 151895278080. Its totient is φ = 8266199040.

The previous prime is 40043212439. The next prime is 40043212463. The reversal of 40043212440 is 4421234004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40043212440.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16566112 + ... + 16568528.

It is an arithmetic number, because the mean of its divisors is an integer number (395560620).

Almost surely, 240043212440 is an apocalyptic number.

40043212440 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 40043212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947639040).

40043212440 is an abundant number, since it is smaller than the sum of its proper divisors (111852065640).

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

40043212440 is a wasteful number, since it uses less digits than its factorization.

40043212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40043212440 its reverse (4421234004), we get a palindrome (44464446444).

The spelling of 40043212440 in words is "forty billion, forty-three million, two hundred twelve thousand, four hundred forty".