38121199618320 has 3840 divisors, whose sum is σ = 189319082803200. Its totient is φ = 6937754664960.

The previous prime is 38121199618267. The next prime is 38121199618343. The reversal of 38121199618320 is 2381699112183.

It is a happy number.

38121199618320 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 1 + 19 + 9 + 618 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13777085577 + ... + 13777088343.

It is an arithmetic number, because the mean of its divisors is an integer number (49301844480).

Almost surely, 2^{38121199618320} is an apocalyptic number.

38121199618320 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 38121199618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94659541401600).

38121199618320 is an abundant number, since it is smaller than the sum of its proper divisors (151197883184880).

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

38121199618320 is a wasteful number, since it uses less digits than its factorization.

38121199618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 38121199618320 in words is "thirty-eight trillion, one hundred twenty-one billion, one hundred ninety-nine million, six hundred eighteen thousand, three hundred twenty".