428153602401 has 24 divisors (see below), whose sum is σ = 707288697024. Its totient is φ = 244487700000.

The previous prime is 428153602381. The next prime is 428153602423. The reversal of 428153602401 is 104206351824.

It is a happy number.

428153602401 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 5 + 3 + 602 + 40 + 1 = 666.

428153602401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 428153602401 - 2⁵ = 428153602369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428153602441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2291350 + ... + 2471151.

It is an arithmetic number, because the mean of its divisors is an integer number (29470362376).

Almost surely, 2^428153602401 is an apocalyptic number.

It is an amenable number.

428153602401 is a deficient number, since it is larger than the sum of its proper divisors (279135094623).

428153602401 is a wasteful number, since it uses less digits than its factorization.

428153602401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763941 (or 4763938 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 428153602401 in words is "four hundred twenty-eight billion, one hundred fifty-three million, six hundred two thousand, four hundred one".