140013032020400 has 240 divisors, whose sum is σ = 419824645360128. Its totient is φ = 43594623744000.

The previous prime is 140013032020339. The next prime is 140013032020447. The reversal of 140013032020400 is 4020230310041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26967365 + ... + 31737435.

Almost surely, 2^{140013032020400} is an apocalyptic number.

140013032020400 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 140013032020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209912322680064).

140013032020400 is an abundant number, since it is smaller than the sum of its proper divisors (279811613339728).

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

140013032020400 is a wasteful number, since it uses less digits than its factorization.

140013032020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771060 (or 4771049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140013032020400 its reverse (4020230310041), we get a palindrome (144033262330441).

The spelling of 140013032020400 in words is "one hundred forty trillion, thirteen billion, thirty-two million, twenty thousand, four hundred".