126249710400 has 1680 divisors, whose sum is σ = 548786304000. Its totient is φ = 28142899200.

The previous prime is 126249710399. The next prime is 126249710441. The reversal of 126249710400 is 4017942621.

It is a happy number.

126249710400 is a `hidden beast` number, since 1 + 2 + 6 + 249 + 7 + 1 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1598097561 + ... + 1598097639.

Almost surely, 2^126249710400 is an apocalyptic number.

126249710400 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 126249710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274393152000).

126249710400 is an abundant number, since it is smaller than the sum of its proper divisors (422536593600).

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

126249710400 is a wasteful number, since it uses less digits than its factorization.

126249710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 126249710400 in words is "one hundred twenty-six billion, two hundred forty-nine million, seven hundred ten thousand, four hundred".