140835117127680 has 576 divisors, whose sum is σ = 497300212281600. Its totient is φ = 36851215564800.

The previous prime is 140835117127667. The next prime is 140835117127681. The reversal of 140835117127680 is 86721711538041.

It is a happy number.

140835117127680 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 351 + 17 + 1 + 276 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140835117127681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2974256005 + ... + 2974303355.

It is an arithmetic number, because the mean of its divisors is an integer number (863368424100).

Almost surely, 2^{140835117127680} is an apocalyptic number.

140835117127680 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 140835117127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248650106140800).

140835117127680 is an abundant number, since it is smaller than the sum of its proper divisors (356465095153920).

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

140835117127680 is a wasteful number, since it uses less digits than its factorization.

140835117127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47990 (or 47967 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 140835117127680 in words is "one hundred forty trillion, eight hundred thirty-five billion, one hundred seventeen million, one hundred twenty-seven thousand, six hundred eighty".