38118657392640 has 2304 divisors, whose sum is σ = 156062670865920. Its totient is φ = 8521777152000.

The previous prime is 38118657392617. The next prime is 38118657392653. The reversal of 38118657392640 is 4629375681183.

38118657392640 is a `hidden beast` number, since 3 + 8 + 1 + 18 + 6 + 573 + 9 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 886480404459 + ... + 886480404501.

It is an arithmetic number, because the mean of its divisors is an integer number (67735534230).

It is a 1-persistent number, because it is pandigital, but 2⋅38118657392640 = 76237314785280 is not.

Almost surely, 2^{38118657392640} is an apocalyptic number.

38118657392640 is a gapful number since it is divisible by the number (30) 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 38118657392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78031335432960).

38118657392640 is an abundant number, since it is smaller than the sum of its proper divisors (117944013473280).

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

38118657392640 is a wasteful number, since it uses less digits than its factorization.

38118657392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38118657392640 in words is "thirty-eight trillion, one hundred eighteen billion, six hundred fifty-seven million, three hundred ninety-two thousand, six hundred forty".