4100759920 has 20 divisors (see below), whose sum is σ = 9534267000. Its totient is φ = 1640303936.

The previous prime is 4100759903. The next prime is 4100759921. The reversal of 4100759920 is 299570014.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4100759920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100759921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25629670 + ... + 25629829.

It is an arithmetic number, because the mean of its divisors is an integer number (476713350).

Almost surely, 2^4100759920 is an apocalyptic number.

4100759920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100759920 is an abundant number, since it is smaller than the sum of its proper divisors (5433507080).

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

4100759920 is a wasteful number, since it uses less digits than its factorization.

4100759920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51259512 (or 51259506 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 4100759920 is about 64037.1760776504. The cubic root of 4100759920 is about 1600.6195413244.

The spelling of 4100759920 in words is "four billion, one hundred million, seven hundred fifty-nine thousand, nine hundred twenty".