40640754969920 has 672 divisors, whose sum is σ = 119139763142400. Its totient is φ = 12898081308672.

The previous prime is 40640754969907. The next prime is 40640754970007. The reversal of 40640754969920 is 2996945704604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28439995766 + ... + 28439997194.

It is an arithmetic number, because the mean of its divisors is an integer number (177291314200).

Almost surely, 2^{40640754969920} is an apocalyptic number.

40640754969920 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 40640754969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59569881571200).

40640754969920 is an abundant number, since it is smaller than the sum of its proper divisors (78499008172480).

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

40640754969920 is a wasteful number, since it uses less digits than its factorization.

40640754969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 65.

The spelling of 40640754969920 in words is "forty trillion, six hundred forty billion, seven hundred fifty-four million, nine hundred sixty-nine thousand, nine hundred twenty".