126116390400 has 1920 divisors, whose sum is σ = 595347895296. Its totient is φ = 22649241600.

The previous prime is 126116390359. The next prime is 126116390467. The reversal of 126116390400 is 4093611621.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653452704 + ... + 653452896.

Almost surely, 2^126116390400 is an apocalyptic number.

126116390400 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 126116390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297673947648).

126116390400 is an abundant number, since it is smaller than the sum of its proper divisors (469231504896).

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

126116390400 is a wasteful number, since it uses less digits than its factorization.

126116390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 126116390400 in words is "one hundred twenty-six billion, one hundred sixteen million, three hundred ninety thousand, four hundred".