125209999440 has 240 divisors, whose sum is σ = 436838278656. Its totient is φ = 32105548800.

The previous prime is 125209999433. The next prime is 125209999451. The reversal of 125209999440 is 44999902521.

125209999440 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 99 + 99 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3486375 + ... + 3522105.

Almost surely, 2^125209999440 is an apocalyptic number.

125209999440 is a gapful number since it is divisible by the number (10) 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 125209999440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419139328).

125209999440 is an abundant number, since it is smaller than the sum of its proper divisors (311628279216).

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

125209999440 is a wasteful number, since it uses less digits than its factorization.

125209999440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35938 (or 35929 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 125209999440 in words is "one hundred twenty-five billion, two hundred nine million, nine hundred ninety-nine thousand, four hundred forty".