4331790720 has 192 divisors, whose sum is σ = 15277429440. Its totient is φ = 1130496000.

The previous prime is 4331790653. The next prime is 4331790739. The reversal of 4331790720 is 270971334.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262720 + ... + 278720.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 2^4331790720 is an apocalyptic number.

4331790720 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 4331790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638714720).

4331790720 is an abundant number, since it is smaller than the sum of its proper divisors (10945638720).

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

4331790720 is a wasteful number, since it uses less digits than its factorization.

4331790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073 (or 16058 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4331790720 is about 65816.3408280953. The cubic root of 4331790720 is about 1630.1309340666.

The spelling of 4331790720 in words is "four billion, three hundred thirty-one million, seven hundred ninety thousand, seven hundred twenty".