3130801400448 has 128 divisors (see below), whose sum is σ = 9244088640000. Its totient is φ = 1043162689536.

The previous prime is 3130801400431. The next prime is 3130801400477. The reversal of 3130801400448 is 8440041080313.

3130801400448 is a `hidden beast` number, since 3 + 130 + 80 + 1 + 4 + 0 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8102136 + ... + 8479752.

It is an arithmetic number, because the mean of its divisors is an integer number (72219442500).

Almost surely, 2^{3130801400448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130801400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622044320000).

3130801400448 is an abundant number, since it is smaller than the sum of its proper divisors (6113287239552).

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

3130801400448 is a wasteful number, since it uses less digits than its factorization.

3130801400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380039 (or 380021 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3130801400448 in words is "three trillion, one hundred thirty billion, eight hundred one million, four hundred thousand, four hundred forty-eight".