126126441360 has 200 divisors, whose sum is σ = 457102261440. Its totient is φ = 32171344128.

The previous prime is 126126441349. The next prime is 126126441391. The reversal of 126126441360 is 63144621621.

126126441360 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 2 + 644 + 1 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274090 + ... + 572169.

Almost surely, 2^126126441360 is an apocalyptic number.

126126441360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126126441360 is an abundant number, since it is smaller than the sum of its proper divisors (330975820080).

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

126126441360 is a wasteful number, since it uses less digits than its factorization.

126126441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846307 (or 846292 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 126126441360 in words is "one hundred twenty-six billion, one hundred twenty-six million, four hundred forty-one thousand, three hundred sixty".