4109713920 has 240 divisors, whose sum is σ = 15329065752. Its totient is φ = 1011548160.

The previous prime is 4109713919. The next prime is 4109713931. The reversal of 4109713920 is 293179014.

4109713920 is a `hidden beast` number, since 410 + 97 + 139 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1937408256 + 2172305664 = 44016^2 + 46608^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292660 + ... + 306380.

Almost surely, 2^4109713920 is an apocalyptic number.

4109713920 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 4109713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664532876).

4109713920 is an abundant number, since it is smaller than the sum of its proper divisors (11219351832).

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

4109713920 is a wasteful number, since it uses less digits than its factorization.

4109713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4109713920 is about 64107.0504702876. The cubic root of 4109713920 is about 1601.7836774869.

The spelling of 4109713920 in words is "four billion, one hundred nine million, seven hundred thirteen thousand, nine hundred twenty".