126949666314240 has 3840 divisors, whose sum is σ = 601063182720000. Its totient is φ = 24828098641920.

The previous prime is 126949666314227. The next prime is 126949666314271. The reversal of 126949666314240 is 42413666949621.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×126949666314240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 282738677536 + ... + 282738677984.

It is an arithmetic number, because the mean of its divisors is an integer number (156526870500).

Almost surely, 2^{126949666314240} is an apocalyptic number.

126949666314240 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 126949666314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300531591360000).

126949666314240 is an abundant number, since it is smaller than the sum of its proper divisors (474113516405760).

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

126949666314240 is a wasteful number, since it uses less digits than its factorization.

126949666314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 126949666314240 in words is "one hundred twenty-six trillion, nine hundred forty-nine billion, six hundred sixty-six million, three hundred fourteen thousand, two hundred forty".