125919440640 has 864 divisors, whose sum is σ = 544385028096. Its totient is φ = 26205880320.

The previous prime is 125919440627. The next prime is 125919440651. The reversal of 125919440640 is 46044919521.

125919440640 is a `hidden beast` number, since 1 + 2 + 59 + 194 + 406 + 4 + 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 95 ways as a sum of consecutive naturals, for example, 42495799 + ... + 42498761.

It is an arithmetic number, because the mean of its divisors is an integer number (630075264).

Almost surely, 2^125919440640 is an apocalyptic number.

125919440640 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 125919440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272192514048).

125919440640 is an abundant number, since it is smaller than the sum of its proper divisors (418465587456).

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

125919440640 is a wasteful number, since it uses less digits than its factorization.

125919440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 125919440640 in words is "one hundred twenty-five billion, nine hundred nineteen million, four hundred forty thousand, six hundred forty".