125428746240 has 1152 divisors, whose sum is σ = 543763584000. Its totient is φ = 27088846848.

The previous prime is 125428746239. The next prime is 125428746251. The reversal of 125428746240 is 42647824521.

125428746240 is a `hidden beast` number, since 1 + 2 + 542 + 8 + 7 + 4 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 330946371 + ... + 330946749.

It is an arithmetic number, because the mean of its divisors is an integer number (472017000).

Almost surely, 2^125428746240 is an apocalyptic number.

125428746240 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 125428746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792000).

125428746240 is an abundant number, since it is smaller than the sum of its proper divisors (418334837760).

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

125428746240 is an equidigital number, since it uses as much as digits as its factorization.

125428746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 125428746240 in words is "one hundred twenty-five billion, four hundred twenty-eight million, seven hundred forty-six thousand, two hundred forty".