38031841198080 has 1536 divisors, whose sum is σ = 146293296065280. Its totient is φ = 9454925905920.

The previous prime is 38031841198067. The next prime is 38031841198139. The reversal of 38031841198080 is 8089114813083.

38031841198080 is a `hidden beast` number, since 38 + 0 + 31 + 8 + 411 + 98 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 37543771654 + ... + 37543772666.

Almost surely, 2^{38031841198080} is an apocalyptic number.

38031841198080 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 38031841198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73146648032640).

38031841198080 is an abundant number, since it is smaller than the sum of its proper divisors (108261454867200).

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

38031841198080 is an equidigital number, since it uses as much as digits as its factorization.

38031841198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 38031841198080 in words is "thirty-eight trillion, thirty-one billion, eight hundred forty-one million, one hundred ninety-eight thousand, eighty".