126701723440 has 160 divisors (see below), whose sum is σ = 312305011200. Its totient is φ = 47671234560.

The previous prime is 126701723437. The next prime is 126701723443. The reversal of 126701723440 is 44327107621.

It is an interprime number because it is at equal distance from previous prime (126701723437) and next prime (126701723443).

It is a self number, because there is not a number n which added to its sum of digits gives 126701723440.

It is not an unprimeable number, because it can be changed into a prime (126701723443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204687451 + ... + 204688069.

It is an arithmetic number, because the mean of its divisors is an integer number (1951906320).

Almost surely, 2^126701723440 is an apocalyptic number.

126701723440 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 126701723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156152505600).

126701723440 is an abundant number, since it is smaller than the sum of its proper divisors (185603287760).

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

126701723440 is a wasteful number, since it uses less digits than its factorization.

126701723440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 126701723440 in words is "one hundred twenty-six billion, seven hundred one million, seven hundred twenty-three thousand, four hundred forty".