4406431968 has 192 divisors, whose sum is σ = 13612435200. Its totient is φ = 1382883840.

The previous prime is 4406431963. The next prime is 4406431993. The reversal of 4406431968 is 8691346044.

It is a super-2 number, since 2×4406431968² = 38833285377224706048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406431963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2970555 + ... + 2972037.

It is an arithmetic number, because the mean of its divisors is an integer number (70898100).

Almost surely, 2^4406431968 is an apocalyptic number.

4406431968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4406431968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806217600).

4406431968 is an abundant number, since it is smaller than the sum of its proper divisors (9206003232).

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

4406431968 is a wasteful number, since it uses less digits than its factorization.

4406431968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4406431968 is about 66380.9608848802. The cubic root of 4406431968 is about 1639.4406142978.

The spelling of 4406431968 in words is "four billion, four hundred six million, four hundred thirty-one thousand, nine hundred sixty-eight".