38443697660160 has 2592 divisors, whose sum is σ = 158206276580352. Its totient is φ = 8881271930880.

The previous prime is 38443697660143. The next prime is 38443697660171. The reversal of 38443697660160 is 6106679634483.

38443697660160 is a `hidden beast` number, since 3 + 8 + 44 + 369 + 76 + 6 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 125223770727 + ... + 125223771033.

Almost surely, 2^{38443697660160} is an apocalyptic number.

38443697660160 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 38443697660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79103138290176).

38443697660160 is an abundant number, since it is smaller than the sum of its proper divisors (119762578920192).

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

38443697660160 is an equidigital number, since it uses as much as digits as its factorization.

38443697660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 38443697660160 in words is "thirty-eight trillion, four hundred forty-three billion, six hundred ninety-seven million, six hundred sixty thousand, one hundred sixty".