126460220400 has 180 divisors, whose sum is σ = 439166928720. Its totient is φ = 33698534400.

The previous prime is 126460220377. The next prime is 126460220401. The reversal of 126460220400 is 4022064621.

126460220400 is a `hidden beast` number, since 12 + 6 + 4 + 602 + 2 + 0 + 40 + 0 = 666.

126460220400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126460220401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5319741 + ... + 5343459.

Almost surely, 2^126460220400 is an apocalyptic number.

126460220400 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 126460220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219583464360).

126460220400 is an abundant number, since it is smaller than the sum of its proper divisors (312706708320).

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

126460220400 is a wasteful number, since it uses less digits than its factorization.

126460220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25224 (or 25210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 126460220400 in words is "one hundred twenty-six billion, four hundred sixty million, two hundred twenty thousand, four hundred".