40902176640 has 256 divisors, whose sum is σ = 140775667200. Its totient is φ = 10041630720.

The previous prime is 40902176639. The next prime is 40902176663. The reversal of 40902176640 is 4667120904.

It is a happy number.

40902176640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10456285 + ... + 10460195.

It is an arithmetic number, because the mean of its divisors is an integer number (549904950).

Almost surely, 2^40902176640 is an apocalyptic number.

40902176640 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 40902176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70387833600).

40902176640 is an abundant number, since it is smaller than the sum of its proper divisors (99873490560).

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

40902176640 is a wasteful number, since it uses less digits than its factorization.

40902176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 40902176640 in words is "forty billion, nine hundred two million, one hundred seventy-six thousand, six hundred forty".