3056440262400 has 1080 divisors, whose sum is σ = 13098500642304. Its totient is φ = 688717209600.

The previous prime is 3056440262353. The next prime is 3056440262413. The reversal of 3056440262400 is 42620446503.

3056440262400 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 4 + 402 + 6 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257638869 + ... + 257650731.

Almost surely, 2^{3056440262400} is an apocalyptic number.

3056440262400 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 3056440262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549250321152).

3056440262400 is an abundant number, since it is smaller than the sum of its proper divisors (10042060379904).

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

3056440262400 is a wasteful number, since it uses less digits than its factorization.

3056440262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3056440262400 in words is "three trillion, fifty-six billion, four hundred forty million, two hundred sixty-two thousand, four hundred".