4406379539760 has 960 divisors, whose sum is σ = 17199169468416. Its totient is φ = 1000459468800.

The previous prime is 4406379539753. The next prime is 4406379539773. The reversal of 4406379539760 is 679359736044.

4406379539760 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 37 + 9 + 539 + 7 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2855721549 + ... + 2855723091.

Almost surely, 2^{4406379539760} is an apocalyptic number.

4406379539760 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 4406379539760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599584734208).

4406379539760 is an abundant number, since it is smaller than the sum of its proper divisors (12792789928656).

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

4406379539760 is a wasteful number, since it uses less digits than its factorization.

4406379539760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 4406379539760 in words is "four trillion, four hundred six billion, three hundred seventy-nine million, five hundred thirty-nine thousand, seven hundred sixty".