4088800416461 has 16 divisors (see below), whose sum is σ = 4498315483200. Its totient is φ = 3701470929408.

The previous prime is 4088800416413. The next prime is 4088800416509. The reversal of 4088800416461 is 1646140088804.

It is an interprime number because it is at equal distance from previous prime (4088800416413) and next prime (4088800416509).

It is a cyclic number.

It is not a de Polignac number, because 4088800416461 - 2³⁴ = 4071620547277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081800416461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38197535 + ... + 38304428.

It is an arithmetic number, because the mean of its divisors is an integer number (281144717700).

Almost surely, 2^{4088800416461} is an apocalyptic number.

It is an amenable number.

4088800416461 is a deficient number, since it is larger than the sum of its proper divisors (409515066739).

4088800416461 is a wasteful number, since it uses less digits than its factorization.

4088800416461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76502108.

The product of its (nonzero) digits is 1179648, while the sum is 50.

The spelling of 4088800416461 in words is "four trillion, eighty-eight billion, eight hundred million, four hundred sixteen thousand, four hundred sixty-one".