4765040812800 has 648 divisors, whose sum is σ = 18180727358976. Its totient is φ = 1186484060160.

The previous prime is 4765040812781. The next prime is 4765040812841. The reversal of 4765040812800 is 82180405674.

4765040812800 is a `hidden beast` number, since 4 + 76 + 50 + 408 + 128 + 0 + 0 = 666.

It is a super-2 number, since 2×4765040812800² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 124339242 + ... + 124377558.

Almost surely, 2^{4765040812800} is an apocalyptic number.

4765040812800 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 4765040812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090363679488).

4765040812800 is an abundant number, since it is smaller than the sum of its proper divisors (13415686546176).

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

4765040812800 is a wasteful number, since it uses less digits than its factorization.

4765040812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4765040812800 in words is "four trillion, seven hundred sixty-five billion, forty million, eight hundred twelve thousand, eight hundred".