126207815040 has 512 divisors, whose sum is σ = 488581632000. Its totient is φ = 30651678720.

The previous prime is 126207815029. The next prime is 126207815053. The reversal of 126207815040 is 40518702621.

126207815040 is a `hidden beast` number, since 12 + 62 + 0 + 7 + 81 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126207814986 and 126207815004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9099631 + ... + 9113489.

It is an arithmetic number, because the mean of its divisors is an integer number (954261000).

Almost surely, 2^126207815040 is an apocalyptic number.

126207815040 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 126207815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244290816000).

126207815040 is an abundant number, since it is smaller than the sum of its proper divisors (362373816960).

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

126207815040 is a wasteful number, since it uses less digits than its factorization.

126207815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 126207815040 in words is "one hundred twenty-six billion, two hundred seven million, eight hundred fifteen thousand, forty".