601407269600256 has 924 divisors, whose sum is σ = 2097878059838232. Its totient is φ = 171742703763456.

The previous prime is 601407269600239. The next prime is 601407269600281. The reversal of 601407269600256 is 652006962704106.

601407269600256 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 0 + 7 + 2 + 6 + 9 + 600 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 112770908566 + ... + 112770913898.

Almost surely, 2^{601407269600256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601407269600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048939029919116).

601407269600256 is an abundant number, since it is smaller than the sum of its proper divisors (1496470790237976).

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

601407269600256 is an equidigital number, since it uses as much as digits as its factorization.

601407269600256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 601407269600256 in words is "six hundred one trillion, four hundred seven billion, two hundred sixty-nine million, six hundred thousand, two hundred fifty-six".