4630975044480 has 512 divisors, whose sum is σ = 16690548700800. Its totient is φ = 1213203087360.

The previous prime is 4630975044401. The next prime is 4630975044497. The reversal of 4630975044480 is 844405790364.

4630975044480 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 97 + 504 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067780872 + ... + 1067785208.

Almost surely, 2^{4630975044480} is an apocalyptic number.

4630975044480 is a gapful number since it is divisible by the number (40) 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 4630975044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345274350400).

4630975044480 is an abundant number, since it is smaller than the sum of its proper divisors (12059573656320).

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

4630975044480 is a wasteful number, since it uses less digits than its factorization.

4630975044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4630975044480 in words is "four trillion, six hundred thirty billion, nine hundred seventy-five million, forty-four thousand, four hundred eighty".