101314927909440 has 336 divisors, whose sum is σ = 398361643305600. Its totient is φ = 23152029327360.

The previous prime is 101314927909373. The next prime is 101314927909471. The reversal of 101314927909440 is 44909729413101.

It is a happy number.

101314927909440 is a `hidden beast` number, since 1 + 0 + 13 + 14 + 92 + 7 + 90 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×101314927909440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82022820 + ... + 83248860.

Almost surely, 2^{101314927909440} is an apocalyptic number.

101314927909440 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 101314927909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180821652800).

101314927909440 is an abundant number, since it is smaller than the sum of its proper divisors (297046715396160).

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

101314927909440 is a wasteful number, since it uses less digits than its factorization.

101314927909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230170 (or 1230157 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 101314927909440 in words is "one hundred one trillion, three hundred fourteen billion, nine hundred twenty-seven million, nine hundred nine thousand, four hundred forty".