4079185920 has 260 divisors, whose sum is σ = 14628798360. Its totient is φ = 1087340544.

The previous prime is 4079185919. The next prime is 4079185951. The reversal of 4079185920 is 295819704.

4079185920 is a `hidden beast` number, since 40 + 7 + 9 + 18 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1657651 + ... + 1660109.

Almost surely, 2^4079185920 is an apocalyptic number.

4079185920 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 4079185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314399180).

4079185920 is an abundant number, since it is smaller than the sum of its proper divisors (10549612440).

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

4079185920 is an equidigital number, since it uses as much as digits as its factorization.

4079185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4079185920 is about 63868.5049143942. The cubic root of 4079185920 is about 1597.8076640782.

The spelling of 4079185920 in words is "four billion, seventy-nine million, one hundred eighty-five thousand, nine hundred twenty".