30013940476080 has 640 divisors, whose sum is σ = 113409031357440. Its totient is φ = 7235616522240.

The previous prime is 30013940476061. The next prime is 30013940476127. The reversal of 30013940476080 is 8067404931003.

30013940476080 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 39 + 4 + 0 + 4 + 7 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3261316759 + ... + 3261325961.

It is an arithmetic number, because the mean of its divisors is an integer number (177201611496).

Almost surely, 2^{30013940476080} is an apocalyptic number.

30013940476080 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 30013940476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56704515678720).

30013940476080 is an abundant number, since it is smaller than the sum of its proper divisors (83395090881360).

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

30013940476080 is a wasteful number, since it uses less digits than its factorization.

30013940476080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30013940476080 in words is "thirty trillion, thirteen billion, nine hundred forty million, four hundred seventy-six thousand, eighty".