30413499374160 has 1920 divisors, whose sum is σ = 124681482731520. Its totient is φ = 6501009715200.

The previous prime is 30413499374143. The next prime is 30413499374161. The reversal of 30413499374160 is 6147399431403.

30413499374160 is a `hidden beast` number, since 3 + 0 + 4 + 134 + 9 + 93 + 7 + 416 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30413499374097 and 30413499374106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30413499374161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112226934825 + ... + 112226935095.

It is an arithmetic number, because the mean of its divisors is an integer number (64938272256).

Almost surely, 2^{30413499374160} is an apocalyptic number.

30413499374160 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 30413499374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62340741365760).

30413499374160 is an abundant number, since it is smaller than the sum of its proper divisors (94267983357360).

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

30413499374160 is a wasteful number, since it uses less digits than its factorization.

30413499374160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 30413499374160 in words is "thirty trillion, four hundred thirteen billion, four hundred ninety-nine million, three hundred seventy-four thousand, one hundred sixty".