34025254401 has 64 divisors (see below), whose sum is σ = 51321102336. Its totient is φ = 19935590400.

The previous prime is 34025254391. The next prime is 34025254421. The reversal of 34025254401 is 10445252043.

It is not a de Polignac number, because 34025254401 - 2¹⁰ = 34025253377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34025254421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41954286 + ... + 41955096.

It is an arithmetic number, because the mean of its divisors is an integer number (801892224).

Almost surely, 2^34025254401 is an apocalyptic number.

It is an amenable number.

34025254401 is a deficient number, since it is larger than the sum of its proper divisors (17295847935).

34025254401 is a wasteful number, since it uses less digits than its factorization.

34025254401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 34025254401 in words is "thirty-four billion, twenty-five million, two hundred fifty-four thousand, four hundred one".