4515407856960 has 2688 divisors, whose sum is σ = 20826339287040. Its totient is φ = 800155238400.

The previous prime is 4515407856931. The next prime is 4515407856961. The reversal of 4515407856960 is 696587045154.

It is a super-2 number, since 2×4515407856960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4515407856894 and 4515407856903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4515407856961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19717938126 + ... + 19717938354.

It is an arithmetic number, because the mean of its divisors is an integer number (7747894080).

Almost surely, 2^{4515407856960} is an apocalyptic number.

4515407856960 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 4515407856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10413169643520).

4515407856960 is an abundant number, since it is smaller than the sum of its proper divisors (16310931430080).

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

4515407856960 is a wasteful number, since it uses less digits than its factorization.

4515407856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 4515407856960 in words is "four trillion, five hundred fifteen billion, four hundred seven million, eight hundred fifty-six thousand, nine hundred sixty".