140013004203200 has 168 divisors, whose sum is σ = 345971856842304. Its totient is φ = 55769454720000.

The previous prime is 140013004203181. The next prime is 140013004203223. The reversal of 140013004203200 is 2302400310041.

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 23 ways as a sum of consecutive naturals, for example, 516115595 + ... + 516386805.

It is an arithmetic number, because the mean of its divisors is an integer number (2059356290728).

Almost surely, 2^{140013004203200} is an apocalyptic number.

140013004203200 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 140013004203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172985928421152).

140013004203200 is an abundant number, since it is smaller than the sum of its proper divisors (205958852639104).

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

140013004203200 is a wasteful number, since it uses less digits than its factorization.

140013004203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272591 (or 272576 counting only the distinct ones).

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

Adding to 140013004203200 its reverse (2302400310041), we get a palindrome (142315404513241).

The spelling of 140013004203200 in words is "one hundred forty trillion, thirteen billion, four million, two hundred three thousand, two hundred".