125439481440 has 768 divisors, whose sum is σ = 559038412800. Its totient is φ = 25551396864.

The previous prime is 125439481379. The next prime is 125439481441. The reversal of 125439481440 is 44184934521.

125439481440 is a `hidden beast` number, since 1 + 2 + 5 + 43 + 94 + 81 + 440 = 666.

It is a super-2 number, since 2×125439481440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125439481441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 11394979 + ... + 11405981.

It is an arithmetic number, because the mean of its divisors is an integer number (727914600).

Almost surely, 2^125439481440 is an apocalyptic number.

125439481440 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 125439481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279519206400).

125439481440 is an abundant number, since it is smaller than the sum of its proper divisors (433598931360).

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

125439481440 is a wasteful number, since it uses less digits than its factorization.

125439481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 125439481440 in words is "one hundred twenty-five billion, four hundred thirty-nine million, four hundred eighty-one thousand, four hundred forty".