40920577600 has 336 divisors, whose sum is σ = 126062110080. Its totient is φ = 12747571200.

The previous prime is 40920577567. The next prime is 40920577613. The reversal of 40920577600 is 677502904.

It is a super-2 number, since 2×40920577600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517895 + ... + 5525305.

Almost surely, 2^40920577600 is an apocalyptic number.

40920577600 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 40920577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63031055040).

40920577600 is an abundant number, since it is smaller than the sum of its proper divisors (85141532480).

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

40920577600 is a wasteful number, since it uses less digits than its factorization.

40920577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 40920577600 in words is "forty billion, nine hundred twenty million, five hundred seventy-seven thousand, six hundred".