4760388801300 has 72 divisors (see below), whose sum is σ = 15025518117792. Its totient is φ = 1154033648000.

The previous prime is 4760388801283. The next prime is 4760388801313. The reversal of 4760388801300 is 31088830674.

It is a super-2 number, since 2×4760388801300² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4760388801300.

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 23 ways as a sum of consecutive naturals, for example, 721267731 + ... + 721274330.

It is an arithmetic number, because the mean of its divisors is an integer number (208687751636).

Almost surely, 2^{4760388801300} is an apocalyptic number.

It is an amenable number.

4760388801300 is an abundant number, since it is smaller than the sum of its proper divisors (10265129316492).

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

4760388801300 is a wasteful number, since it uses less digits than its factorization.

4760388801300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442542089 (or 1442542082 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 4760388801300 in words is "four trillion, seven hundred sixty billion, three hundred eighty-eight million, eight hundred one thousand, three hundred".