126507947040 has 384 divisors, whose sum is σ = 455506571520. Its totient is φ = 32774160384.

The previous prime is 126507947021. The next prime is 126507947113. The reversal of 126507947040 is 40749705621.

126507947040 is a `hidden beast` number, since 1 + 26 + 50 + 79 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36592992 + ... + 36596448.

It is an arithmetic number, because the mean of its divisors is an integer number (1186215030).

Almost surely, 2^126507947040 is an apocalyptic number.

126507947040 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 126507947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227753285760).

126507947040 is an abundant number, since it is smaller than the sum of its proper divisors (328998624480).

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

126507947040 is a wasteful number, since it uses less digits than its factorization.

126507947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 126507947040 in words is "one hundred twenty-six billion, five hundred seven million, nine hundred forty-seven thousand, forty".