4331407920 has 240 divisors, whose sum is σ = 15717252960. Its totient is φ = 983851008.

The previous prime is 4331407901. The next prime is 4331407933. The reversal of 4331407920 is 297041334.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4331407920² = 37522189138877452800, which contains 22 as substring.

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, 2033416 + ... + 2035544.

It is an arithmetic number, because the mean of its divisors is an integer number (65488554).

Almost surely, 2^4331407920 is an apocalyptic number.

4331407920 is a gapful number since it is divisible by the number (40) 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 4331407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858626480).

4331407920 is an abundant number, since it is smaller than the sum of its proper divisors (11385845040).

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

4331407920 is a wasteful number, since it uses less digits than its factorization.

4331407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4331407920 is about 65813.4326714539. The cubic root of 4331407920 is about 1630.0829144720.

The spelling of 4331407920 in words is "four billion, three hundred thirty-one million, four hundred seven thousand, nine hundred twenty".