140979139096320 has 4032 divisors, whose sum is σ = 630550126080000. Its totient is φ = 30086679232512.

The previous prime is 140979139096291. The next prime is 140979139096333. The reversal of 140979139096320 is 23690931979041.

140979139096320 is a `hidden beast` number, since 1 + 4 + 0 + 97 + 9 + 139 + 0 + 96 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 447 ways as a sum of consecutive naturals, for example, 589870874761 + ... + 589870874999.

It is an arithmetic number, because the mean of its divisors is an integer number (156386440000).

Almost surely, 2^{140979139096320} is an apocalyptic number.

140979139096320 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 140979139096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315275063040000).

140979139096320 is an abundant number, since it is smaller than the sum of its proper divisors (489570986983680).

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

140979139096320 is an frugal number, since it uses more digits than its factorization.

140979139096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 140979139096320 in words is "one hundred forty trillion, nine hundred seventy-nine billion, one hundred thirty-nine million, ninety-six thousand, three hundred twenty".