4260597497856 has 768 divisors, whose sum is σ = 15326885404800. Its totient is φ = 1164114395136.

The previous prime is 4260597497719. The next prime is 4260597497909. The reversal of 4260597497856 is 6587947950624.

4260597497856 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 59 + 7 + 497 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997095336 + ... + 997099608.

Almost surely, 2^{4260597497856} is an apocalyptic number.

4260597497856 is a gapful number since it is divisible by the number (46) 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 4260597497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663442702400).

4260597497856 is an abundant number, since it is smaller than the sum of its proper divisors (11066287906944).

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

4260597497856 is an equidigital number, since it uses as much as digits as its factorization.

4260597497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 4260597497856 in words is "four trillion, two hundred sixty billion, five hundred ninety-seven million, four hundred ninety-seven thousand, eight hundred fifty-six".