126014486400 has 960 divisors, whose sum is σ = 512151037200. Its totient is φ = 30257971200.

The previous prime is 126014486387. The next prime is 126014486417. The reversal of 126014486400 is 4684410621.

It is a happy number.

126014486400 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 4 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 550281486 + ... + 550281714.

Almost surely, 2^126014486400 is an apocalyptic number.

126014486400 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 126014486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256075518600).

126014486400 is an abundant number, since it is smaller than the sum of its proper divisors (386136550800).

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

126014486400 is a wasteful number, since it uses less digits than its factorization.

126014486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 126014486400 in words is "one hundred twenty-six billion, fourteen million, four hundred eighty-six thousand, four hundred".