38432661442560 has 3120 divisors, whose sum is σ = 178352596965312. Its totient is φ = 7825666867200.

The previous prime is 38432661442559. The next prime is 38432661442561. The reversal of 38432661442560 is 6524416623483.

38432661442560 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 2 + 66 + 14 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (38432661442559) and next prime (38432661442561).

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

It is a junction number, because it is equal to n+sod(n) for n = 38432661442497 and 38432661442506.

It is not an unprimeable number, because it can be changed into a prime (38432661442561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47389224555 + ... + 47389225365.

Almost surely, 2^{38432661442560} is an apocalyptic number.

38432661442560 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 38432661442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89176298482656).

38432661442560 is an abundant number, since it is smaller than the sum of its proper divisors (139919935522752).

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

38432661442560 is a wasteful number, since it uses less digits than its factorization.

38432661442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 38432661442560 in words is "thirty-eight trillion, four hundred thirty-two billion, six hundred sixty-one million, four hundred forty-two thousand, five hundred sixty".