4138931520 has 672 divisors, whose sum is σ = 16295924736. Its totient is φ = 995328000.

The previous prime is 4138931501. The next prime is 4138931543. The reversal of 4138931520 is 251398314.

4138931520 is a `hidden beast` number, since 41 + 3 + 8 + 93 + 1 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 40979470 + ... + 40979570.

It is an arithmetic number, because the mean of its divisors is an integer number (24249888).

Almost surely, 2^4138931520 is an apocalyptic number.

4138931520 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 4138931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147962368).

4138931520 is an abundant number, since it is smaller than the sum of its proper divisors (12156993216).

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

4138931520 is a wasteful number, since it uses less digits than its factorization.

4138931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4138931520 is about 64334.5282099745. The cubic root of 4138931520 is about 1605.5706242489.

The spelling of 4138931520 in words is "four billion, one hundred thirty-eight million, nine hundred thirty-one thousand, five hundred twenty".