126948326400 has 396 divisors, whose sum is σ = 519475246992. Its totient is φ = 29016391680.

The previous prime is 126948326377. The next prime is 126948326429. The reversal of 126948326400 is 4623849621.

126948326400 is a `hidden beast` number, since 126 + 9 + 483 + 2 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×126948326400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1573444 + ... + 1652156.

Almost surely, 2^126948326400 is an apocalyptic number.

126948326400 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 126948326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259737623496).

126948326400 is an abundant number, since it is smaller than the sum of its proper divisors (392526920592).

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

126948326400 is a wasteful number, since it uses less digits than its factorization.

126948326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78756 (or 78730 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126948326400 in words is "one hundred twenty-six billion, nine hundred forty-eight million, three hundred twenty-six thousand, four hundred".