126014351763440 has 480 divisors, whose sum is σ = 365737041331200. Its totient is φ = 40162278739968.

The previous prime is 126014351763341. The next prime is 126014351763451. The reversal of 126014351763440 is 44367153410621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771417452 + ... + 771580788.

It is an arithmetic number, because the mean of its divisors is an integer number (761952169440).

Almost surely, 2^{126014351763440} is an apocalyptic number.

126014351763440 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 126014351763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182868520665600).

126014351763440 is an abundant number, since it is smaller than the sum of its proper divisors (239722689567760).

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

126014351763440 is a wasteful number, since it uses less digits than its factorization.

126014351763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163629 (or 163616 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 126014351763440 in words is "one hundred twenty-six trillion, fourteen billion, three hundred fifty-one million, seven hundred sixty-three thousand, four hundred forty".