126674038400 has 768 divisors, whose sum is σ = 400961836800. Its totient is φ = 38486016000.

The previous prime is 126674038397. The next prime is 126674038409. The reversal of 126674038400 is 4830476621.

It is not an unprimeable number, because it can be changed into a prime (126674038409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1254198350 + ... + 1254198450.

It is an arithmetic number, because the mean of its divisors is an integer number (522085725).

Almost surely, 2^126674038400 is an apocalyptic number.

126674038400 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 126674038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200480918400).

126674038400 is an abundant number, since it is smaller than the sum of its proper divisors (274287798400).

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

126674038400 is a wasteful number, since it uses less digits than its factorization.

126674038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 126674038400 in words is "one hundred twenty-six billion, six hundred seventy-four million, thirty-eight thousand, four hundred".