40656764880 has 240 divisors, whose sum is σ = 139982082240. Its totient is φ = 10569388032.

The previous prime is 40656764873. The next prime is 40656764881. The reversal of 40656764880 is 8846765604.

40656764880 is a `hidden beast` number, since 40 + 6 + 56 + 76 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40656764881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22878552 + ... + 22880328.

It is an arithmetic number, because the mean of its divisors is an integer number (583258676).

Almost surely, 2^40656764880 is an apocalyptic number.

40656764880 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 40656764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69991041120).

40656764880 is an abundant number, since it is smaller than the sum of its proper divisors (99325317360).

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

40656764880 is a wasteful number, since it uses less digits than its factorization.

40656764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40656764880 in words is "forty billion, six hundred fifty-six million, seven hundred sixty-four thousand, eight hundred eighty".