4560370605120 has 224 divisors, whose sum is σ = 15797525383296. Its totient is φ = 1105400217600.

The previous prime is 4560370605097. The next prime is 4560370605137. The reversal of 4560370605120 is 215060730654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96674340 + ... + 96721500.

Almost surely, 2^{4560370605120} is an apocalyptic number.

4560370605120 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 4560370605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898762691648).

4560370605120 is an abundant number, since it is smaller than the sum of its proper divisors (11237154778176).

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

4560370605120 is a wasteful number, since it uses less digits than its factorization.

4560370605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56349 (or 56339 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 4560370605120 in words is "four trillion, five hundred sixty billion, three hundred seventy million, six hundred five thousand, one hundred twenty".