125449544400 has 240 divisors, whose sum is σ = 423381235200. Its totient is φ = 31664494080.

The previous prime is 125449544387. The next prime is 125449544431. The reversal of 125449544400 is 4445944521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40742061 + ... + 40745139.

It is an arithmetic number, because the mean of its divisors is an integer number (1764088480).

Almost surely, 2^125449544400 is an apocalyptic number.

125449544400 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 125449544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211690617600).

125449544400 is an abundant number, since it is smaller than the sum of its proper divisors (297931690800).

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

125449544400 is a wasteful number, since it uses less digits than its factorization.

125449544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 125449544400 in words is "one hundred twenty-five billion, four hundred forty-nine million, five hundred forty-four thousand, four hundred".