4412609472960 has 2016 divisors, whose sum is σ = 18275577815040. Its totient is φ = 1005673439232.

The previous prime is 4412609472959. The next prime is 4412609473007. The reversal of 4412609472960 is 692749062144.

4412609472960 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 609 + 4 + 7 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×4412609472960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4412609472897 and 4412609472906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34744956417 + ... + 34744956543.

Almost surely, 2^{4412609472960} is an apocalyptic number.

4412609472960 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 4412609472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137788907520).

4412609472960 is an abundant number, since it is smaller than the sum of its proper divisors (13862968342080).

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

4412609472960 is a wasteful number, since it uses less digits than its factorization.

4412609472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4412609472960 in words is "four trillion, four hundred twelve billion, six hundred nine million, four hundred seventy-two thousand, nine hundred sixty".