4088097484416 has 96 divisors (see below), whose sum is σ = 12833374245120. Its totient is φ = 1238817415680.

The previous prime is 4088097484411. The next prime is 4088097484433. The reversal of 4088097484416 is 6144847908804.

4088097484416 is a `hidden beast` number, since 40 + 8 + 80 + 9 + 74 + 8 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4088097484416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4088097484411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161291680 + ... + 161317023.

It is an arithmetic number, because the mean of its divisors is an integer number (133680981720).

Almost surely, 2^{4088097484416} is an apocalyptic number.

It is an amenable number.

4088097484416 is an abundant number, since it is smaller than the sum of its proper divisors (8745276760704).

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

4088097484416 is a wasteful number, since it uses less digits than its factorization.

4088097484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322608734 (or 322608719 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4088097484416 in words is "four trillion, eighty-eight billion, ninety-seven million, four hundred eighty-four thousand, four hundred sixteen".