3056481086400 has 840 divisors, whose sum is σ = 13515692023680. Its totient is φ = 661850818560.

The previous prime is 3056481086291. The next prime is 3056481086423. The reversal of 3056481086400 is 46801846503.

3056481086400 is a `hidden beast` number, since 3 + 0 + 56 + 481 + 0 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17148139 + ... + 17325461.

It is an arithmetic number, because the mean of its divisors is an integer number (16090109552).

Almost surely, 2^{3056481086400} is an apocalyptic number.

3056481086400 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 3056481086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757846011840).

3056481086400 is an abundant number, since it is smaller than the sum of its proper divisors (10459210937280).

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

3056481086400 is a wasteful number, since it uses less digits than its factorization.

3056481086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177383 (or 177359 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3056481086400 in words is "three trillion, fifty-six billion, four hundred eighty-one million, eighty-six thousand, four hundred".