125504458410240 has 1296 divisors, whose sum is σ = 544387427228736. Its totient is φ = 26460396748800.

The previous prime is 125504458410187. The next prime is 125504458410269. The reversal of 125504458410240 is 42014854405521.

125504458410240 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 0 + 44 + 584 + 1 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11234839855 + ... + 11234851025.

Almost surely, 2^{125504458410240} is an apocalyptic number.

125504458410240 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 125504458410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272193713614368).

125504458410240 is an abundant number, since it is smaller than the sum of its proper divisors (418882968818496).

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

125504458410240 is a wasteful number, since it uses less digits than its factorization.

125504458410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 125504458410240 in words is "one hundred twenty-five trillion, five hundred four billion, four hundred fifty-eight million, four hundred ten thousand, two hundred forty".