20125990440000 has 315 divisors, whose sum is σ = 72095964529017. Its totient is φ = 5366212992000.

The previous prime is 20125990439993. The next prime is 20125990440001. The reversal of 20125990440000 is 4409952102.

The square root of 20125990440000 is 4486200.

It is a perfect power (a square), and thus also a powerful number.

20125990440000 is a `hidden beast` number, since 2 + 0 + 125 + 9 + 90 + 440 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4496808642624 + 15629181797376 = 2120568^2 + 3953376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20125990440001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2691716262 + ... + 2691723738.

Almost surely, 2^{20125990440000} is an apocalyptic number.

20125990440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20125990440000 is the 4486200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125990440000

20125990440000 is an abundant number, since it is smaller than the sum of its proper divisors (51969974089017).

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

20125990440000 is an frugal number, since it uses more digits than its factorization.

20125990440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14992 (or 7487 counting only the distinct ones).

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

Multiplying 20125990440000 by its sum of digits (36), we get a square (724535655840000 = 26917200²).

20125990440000 divided by its sum of digits (36) gives a square (559055290000 = 747700²).

The spelling of 20125990440000 in words is "twenty trillion, one hundred twenty-five billion, nine hundred ninety million, four hundred forty thousand".