4407506472960 has 1456 divisors, whose sum is σ = 16708004421120. Its totient is φ = 1114130350080.

The previous prime is 4407506472923. The next prime is 4407506472989. The reversal of 4407506472960 is 692746057044.

4407506472960 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 506 + 4 + 72 + 9 + 60 = 666.

It is a super-2 number, since 2×4407506472960² (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 = 4407506472897 and 4407506472906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41191649227 + ... + 41191649333.

Almost surely, 2^{4407506472960} is an apocalyptic number.

4407506472960 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 4407506472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354002210560).

4407506472960 is an abundant number, since it is smaller than the sum of its proper divisors (12300497948160).

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

4407506472960 is an equidigital number, since it uses as much as digits as its factorization.

4407506472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4407506472960 in words is "four trillion, four hundred seven billion, five hundred six million, four hundred seventy-two thousand, nine hundred sixty".