4256694400 has 96 divisors (see below), whose sum is σ = 12017623680. Its totient is φ = 1459430400.

The previous prime is 4256694397. The next prime is 4256694473. The reversal of 4256694400 is 44966524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72616 + ... + 117415.

It is an arithmetic number, because the mean of its divisors is an integer number (125183580).

Almost surely, 2^4256694400 is an apocalyptic number.

4256694400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256694400 is an abundant number, since it is smaller than the sum of its proper divisors (7760929280).

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

4256694400 is a wasteful number, since it uses less digits than its factorization.

4256694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190062 (or 190045 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 4256694400 is about 65243.3475536012. The cubic root of 4256694400 is about 1620.6559351596.

The spelling of 4256694400 in words is "four billion, two hundred fifty-six million, six hundred ninety-four thousand, four hundred".