140188142680320 has 576 divisors, whose sum is σ = 527009549875200. Its totient is φ = 31743504801792.

The previous prime is 140188142680273. The next prime is 140188142680357. The reversal of 140188142680320 is 23086241881041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140188142680320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140434479 + ... + 141429201.

It is an arithmetic number, because the mean of its divisors is an integer number (914947135200).

Almost surely, 2^{140188142680320} is an apocalyptic number.

140188142680320 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 140188142680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263504774937600).

140188142680320 is an abundant number, since it is smaller than the sum of its proper divisors (386821407194880).

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

140188142680320 is an equidigital number, since it uses as much as digits as its factorization.

140188142680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994875 (or 994847 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 140188142680320 in words is "one hundred forty trillion, one hundred eighty-eight billion, one hundred forty-two million, six hundred eighty thousand, three hundred twenty".