40577850528768 has 264 divisors, whose sum is σ = 139727901126528. Its totient is φ = 11089598496768.

The previous prime is 40577850528751. The next prime is 40577850528821. The reversal of 40577850528768 is 86782505877504.

40577850528768 is a `hidden beast` number, since 4 + 0 + 57 + 7 + 8 + 505 + 2 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40577850528696 and 40577850528705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12190071 + ... + 15157622.

It is an arithmetic number, because the mean of its divisors is an integer number (529272352752).

Almost surely, 2^{40577850528768} is an apocalyptic number.

40577850528768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40577850528768 is an abundant number, since it is smaller than the sum of its proper divisors (99150050597760).

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

40577850528768 is a wasteful number, since it uses less digits than its factorization.

40577850528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27347749 (or 27347728 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 72.

The spelling of 40577850528768 in words is "forty trillion, five hundred seventy-seven billion, eight hundred fifty million, five hundred twenty-eight thousand, seven hundred sixty-eight".