125457446400 has 1440 divisors, whose sum is σ = 513967770624. Its totient is φ = 26763264000.

The previous prime is 125457446357. The next prime is 125457446407. The reversal of 125457446400 is 4644754521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125457446407) 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 143 ways as a sum of consecutive naturals, for example, 1872499167 + ... + 1872499233.

Almost surely, 2^125457446400 is an apocalyptic number.

125457446400 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 125457446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256983885312).

125457446400 is an abundant number, since it is smaller than the sum of its proper divisors (388510324224).

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

125457446400 is a wasteful number, since it uses less digits than its factorization.

125457446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 125457446400 in words is "one hundred twenty-five billion, four hundred fifty-seven million, four hundred forty-six thousand, four hundred".