4401255936 has 480 divisors, whose sum is σ = 15673996800. Its totient is φ = 1070530560.

The previous prime is 4401255917. The next prime is 4401255959. The reversal of 4401255936 is 6395521044.

It is a junction number, because it is equal to n+sod(n) for n = 4401255894 and 4401255903.

It is a congruent number.

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, 22116765 + ... + 22116963.

It is an arithmetic number, because the mean of its divisors is an integer number (32654160).

Almost surely, 2^4401255936 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 4401255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836998400).

4401255936 is an abundant number, since it is smaller than the sum of its proper divisors (11272740864).

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

4401255936 is a wasteful number, since it uses less digits than its factorization.

4401255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 4401255936 is about 66341.9621054427. The cubic root of 4401255936 is about 1638.7984377448.

The spelling of 4401255936 in words is "four billion, four hundred one million, two hundred fifty-five thousand, nine hundred thirty-six".