40938760640 has 224 divisors, whose sum is σ = 101388672000. Its totient is φ = 15738458112.

The previous prime is 40938760627. The next prime is 40938760661. The reversal of 40938760640 is 4606783904.

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, 228708071 + ... + 228708249.

It is an arithmetic number, because the mean of its divisors is an integer number (452628000).

Almost surely, 2^40938760640 is an apocalyptic number.

40938760640 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 40938760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694336000).

40938760640 is an abundant number, since it is smaller than the sum of its proper divisors (60449911360).

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

40938760640 is a wasteful number, since it uses less digits than its factorization.

40938760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 40938760640 in words is "forty billion, nine hundred thirty-eight million, seven hundred sixty thousand, six hundred forty".