125421035040 has 1440 divisors, whose sum is σ = 556619019264. Its totient is φ = 26440888320.

The previous prime is 125421035039. The next prime is 125421035053. The reversal of 125421035040 is 40530124521.

125421035040 is a `hidden beast` number, since 1 + 2 + 54 + 2 + 103 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125421034995 and 125421035013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 452783382 + ... + 452783658.

Almost surely, 2^125421035040 is an apocalyptic number.

125421035040 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 125421035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278309509632).

125421035040 is an abundant number, since it is smaller than the sum of its proper divisors (431197984224).

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

125421035040 is a wasteful number, since it uses less digits than its factorization.

125421035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125421035040 its reverse (40530124521), we get a palindrome (165951159561).

The spelling of 125421035040 in words is "one hundred twenty-five billion, four hundred twenty-one million, thirty-five thousand, forty".