4016598319104 has 256 divisors, whose sum is σ = 12252146780160. Its totient is φ = 1146543144960.

The previous prime is 4016598319091. The next prime is 4016598319133. The reversal of 4016598319104 is 4019138956104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×4016598319104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039759477 + ... + 1039763339.

It is an arithmetic number, because the mean of its divisors is an integer number (47859948360).

Almost surely, 2^{4016598319104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016598319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126073390080).

4016598319104 is an abundant number, since it is smaller than the sum of its proper divisors (8235548461056).

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

4016598319104 is an equidigital number, since it uses as much as digits as its factorization.

4016598319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 4016598319104 in words is "four trillion, sixteen billion, five hundred ninety-eight million, three hundred nineteen thousand, one hundred four".