125040477408 has 384 divisors, whose sum is σ = 432209240064. Its totient is φ = 30688204800.

The previous prime is 125040477379. The next prime is 125040477409. The reversal of 125040477408 is 804774040521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 125040477408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125040477409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14106898 + ... + 14115758.

It is an arithmetic number, because the mean of its divisors is an integer number (1125544896).

Almost surely, 2^125040477408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125040477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216104620032).

125040477408 is an abundant number, since it is smaller than the sum of its proper divisors (307168762656).

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

125040477408 is a wasteful number, since it uses less digits than its factorization.

125040477408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 125040477408 in words is "one hundred twenty-five billion, forty million, four hundred seventy-seven thousand, four hundred eight".