40927597920 has 768 divisors, whose sum is σ = 171264844800. Its totient is φ = 9011036160.

The previous prime is 40927597901. The next prime is 40927597943. The reversal of 40927597920 is 2979572904.

40927597920 is a `hidden beast` number, since 4 + 0 + 9 + 27 + 597 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 23426487 + ... + 23428233.

It is an arithmetic number, because the mean of its divisors is an integer number (223001100).

Almost surely, 2^40927597920 is an apocalyptic number.

40927597920 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 40927597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85632422400).

40927597920 is an abundant number, since it is smaller than the sum of its proper divisors (130337246880).

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

40927597920 is a wasteful number, since it uses less digits than its factorization.

40927597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 40927597920 in words is "forty billion, nine hundred twenty-seven million, five hundred ninety-seven thousand, nine hundred twenty".