140121394560 has 640 divisors, whose sum is σ = 602013139200. Its totient is φ = 30340583424.

The previous prime is 140121394537. The next prime is 140121394561. The reversal of 140121394560 is 65493121041.

It is a happy number.

140121394560 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 1 + 3 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140121394561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6884559 + ... + 6904881.

It is an arithmetic number, because the mean of its divisors is an integer number (940645530).

Almost surely, 2^140121394560 is an apocalyptic number.

140121394560 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 140121394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301006569600).

140121394560 is an abundant number, since it is smaller than the sum of its proper divisors (461891744640).

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

140121394560 is a wasteful number, since it uses less digits than its factorization.

140121394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20380 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 140121394560 in words is "one hundred forty billion, one hundred twenty-one million, three hundred ninety-four thousand, five hundred sixty".