140179968900 has 216 divisors, whose sum is σ = 479643571680. Its totient is φ = 35413770240.

The previous prime is 140179968839. The next prime is 140179968913. The reversal of 140179968900 is 9869971041.

140179968900 is a `hidden beast` number, since 1 + 401 + 7 + 99 + 68 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309892 + ... + 613508.

Almost surely, 2^140179968900 is an apocalyptic number.

140179968900 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 140179968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239821785840).

140179968900 is an abundant number, since it is smaller than the sum of its proper divisors (339463602780).

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

140179968900 is a wasteful number, since it uses less digits than its factorization.

140179968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303665 (or 303646 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 140179968900 in words is "one hundred forty billion, one hundred seventy-nine million, nine hundred sixty-eight thousand, nine hundred".