126310460640 has 384 divisors, whose sum is σ = 490799554560. Its totient is φ = 26590076928.

The previous prime is 126310460599. The next prime is 126310460699. The reversal of 126310460640 is 46064013621.

It is a congruent number.

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, 20919702 + ... + 20925738.

It is an arithmetic number, because the mean of its divisors is an integer number (1278123840).

Almost surely, 2^126310460640 is an apocalyptic number.

126310460640 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 126310460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245399777280).

126310460640 is an abundant number, since it is smaller than the sum of its proper divisors (364489093920).

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

126310460640 is a wasteful number, since it uses less digits than its factorization.

126310460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 126310460640 in words is "one hundred twenty-six billion, three hundred ten million, four hundred sixty thousand, six hundred forty".