40904252928 has 720 divisors, whose sum is σ = 153694734336. Its totient is φ = 10350305280.

The previous prime is 40904252897. The next prime is 40904252929. The reversal of 40904252928 is 82925240904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40904252929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106799425 + ... + 106799807.

Almost surely, 2^40904252928 is an apocalyptic number.

40904252928 is a gapful number since it is divisible by the number (48) 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 40904252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76847367168).

40904252928 is an abundant number, since it is smaller than the sum of its proper divisors (112790481408).

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

40904252928 is a wasteful number, since it uses less digits than its factorization.

40904252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40904252928 in words is "forty billion, nine hundred four million, two hundred fifty-two thousand, nine hundred twenty-eight".