40920764881920 has 1408 divisors, whose sum is σ = 166823143114752. Its totient is φ = 8384395345920.

The previous prime is 40920764881903. The next prime is 40920764881933. The reversal of 40920764881920 is 2918846702904.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10446963802 + ... + 10446967718.

Almost surely, 2^{40920764881920} is an apocalyptic number.

40920764881920 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 40920764881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83411571557376).

40920764881920 is an abundant number, since it is smaller than the sum of its proper divisors (125902378232832).

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

40920764881920 is a wasteful number, since it uses less digits than its factorization.

40920764881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 40920764881920 in words is "forty trillion, nine hundred twenty billion, seven hundred sixty-four million, eight hundred eighty-one thousand, nine hundred twenty".