140013004430000 has 800 divisors, whose sum is σ = 384555406878720. Its totient is φ = 49010872320000.

The previous prime is 140013004429981. The next prime is 140013004430041. The reversal of 140013004430000 is 34400310041.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 82506189152 + ... + 82506190848.

Almost surely, 2^{140013004430000} is an apocalyptic number.

140013004430000 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 140013004430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192277703439360).

140013004430000 is an abundant number, since it is smaller than the sum of its proper divisors (244542402448720).

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

140013004430000 is a wasteful number, since it uses less digits than its factorization.

140013004430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2154 counting only the distinct ones).

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

Adding to 140013004430000 its reverse (34400310041), we get a palindrome (140047404740041).

The spelling of 140013004430000 in words is "one hundred forty trillion, thirteen billion, four million, four hundred thirty thousand".