4398859368960 has 640 divisors, whose sum is σ = 16522212225024. Its totient is φ = 977650974720.

The previous prime is 4398859368901. The next prime is 4398859368971. The reversal of 4398859368960 is 698639588934.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4398859368960² (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 63 ways as a sum of consecutive naturals, for example, 278630187 + ... + 278645973.

Almost surely, 2^{4398859368960} is an apocalyptic number.

4398859368960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4398859368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261106112512).

4398859368960 is an abundant number, since it is smaller than the sum of its proper divisors (12123352856064).

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

4398859368960 is a wasteful number, since it uses less digits than its factorization.

4398859368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15964 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 78.

The spelling of 4398859368960 in words is "four trillion, three hundred ninety-eight billion, eight hundred fifty-nine million, three hundred sixty-eight thousand, nine hundred sixty".