4760893944001 has 16 divisors (see below), whose sum is σ = 5162119200000. Its totient is φ = 4364675840448.

The previous prime is 4760893943899. The next prime is 4760893944011. The reversal of 4760893944001 is 1004493980674.

It is a cyclic number.

It is not a de Polignac number, because 4760893944001 - 2³⁹ = 4211138130113 is a prime.

It is a super-2 number, since 2×4760893944001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4760893944011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17294500 + ... + 17567626.

It is an arithmetic number, because the mean of its divisors is an integer number (322632450000).

Almost surely, 2^{4760893944001} is an apocalyptic number.

It is an amenable number.

4760893944001 is a deficient number, since it is larger than the sum of its proper divisors (401225255999).

4760893944001 is a wasteful number, since it uses less digits than its factorization.

4760893944001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282288.

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 4760893944001 in words is "four trillion, seven hundred sixty billion, eight hundred ninety-three million, nine hundred forty-four thousand, one".