126013030440 has 256 divisors, whose sum is σ = 438335539200. Its totient is φ = 28659225600.

The previous prime is 126013030439. The next prime is 126013030501. The reversal of 126013030440 is 44030310621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126013030440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558850 + ... + 2607630.

It is an arithmetic number, because the mean of its divisors is an integer number (1712248200).

Almost surely, 2^126013030440 is an apocalyptic number.

126013030440 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 126013030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219167769600).

126013030440 is an abundant number, since it is smaller than the sum of its proper divisors (312322508760).

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

126013030440 is a wasteful number, since it uses less digits than its factorization.

126013030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48928 (or 48924 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 126013030440 in words is "one hundred twenty-six billion, thirteen million, thirty thousand, four hundred forty".