140121531990288 has 240 divisors, whose sum is σ = 394423742943360. Its totient is φ = 46436784998400.

The previous prime is 140121531990269. The next prime is 140121531990289. The reversal of 140121531990288 is 882099135121041.

140121531990288 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 21 + 531 + 9 + 9 + 0 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (140121531990289) 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, 41055237670 + ... + 41055241082.

It is an arithmetic number, because the mean of its divisors is an integer number (1643432262264).

Almost surely, 2^{140121531990288} is an apocalyptic number.

140121531990288 is a gapful number since it is divisible by the number (18) 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 140121531990288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197211871471680).

140121531990288 is an abundant number, since it is smaller than the sum of its proper divisors (254302210953072).

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

140121531990288 is a wasteful number, since it uses less digits than its factorization.

140121531990288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 140121531990288 in words is "one hundred forty trillion, one hundred twenty-one billion, five hundred thirty-one million, nine hundred ninety thousand, two hundred eighty-eight".