38413481577120 has 576 divisors, whose sum is σ = 149521939126560. Its totient is φ = 8896537165824.

The previous prime is 38413481577101. The next prime is 38413481577131. The reversal of 38413481577120 is 2177518431483.

38413481577120 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 3 + 48 + 1 + 577 + 1 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9229759954704 + 29183721622416 = 3038052^2 + 5402196^2 .

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, 1078497552 + ... + 1078533168.

Almost surely, 2^{38413481577120} is an apocalyptic number.

38413481577120 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 38413481577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74760969563280).

38413481577120 is an abundant number, since it is smaller than the sum of its proper divisors (111108457549440).

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

38413481577120 is a wasteful number, since it uses less digits than its factorization.

38413481577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39057 (or 39046 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 38413481577120 in words is "thirty-eight trillion, four hundred thirteen billion, four hundred eighty-one million, five hundred seventy-seven thousand, one hundred twenty".