4510407720960 has 552 divisors, whose sum is σ = 16331611196160. Its totient is φ = 1149373513728.

The previous prime is 4510407720877. The next prime is 4510407720977. The reversal of 4510407720960 is 690277040154.

4510407720960 is a `hidden beast` number, since 4 + 510 + 4 + 0 + 7 + 72 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (552).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4341104121 + ... + 4341105159.

Almost surely, 2^{4510407720960} is an apocalyptic number.

4510407720960 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 4510407720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165805598080).

4510407720960 is an abundant number, since it is smaller than the sum of its proper divisors (11821203475200).

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

4510407720960 is an frugal number, since it uses more digits than its factorization.

4510407720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4510407720960 in words is "four trillion, five hundred ten billion, four hundred seven million, seven hundred twenty thousand, nine hundred sixty".