140413113000 has 192 divisors, whose sum is σ = 487424405520. Its totient is φ = 36431424000.

The previous prime is 140413112947. The next prime is 140413113031. The reversal of 140413113000 is 311314041.

140413113000 is a `hidden beast` number, since 1 + 404 + 131 + 130 + 0 + 0 = 666.

140413113000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15364594116 + 125048518884 = 123954^2 + 353622^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122170 + ... + 543830.

Almost surely, 2^140413113000 is an apocalyptic number.

140413113000 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 140413113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243712202760).

140413113000 is an abundant number, since it is smaller than the sum of its proper divisors (347011292520).

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

140413113000 is a wasteful number, since it uses less digits than its factorization.

140413113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421725 (or 421708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 140413113000 its reverse (311314041), we get a palindrome (140724427041).

The spelling of 140413113000 in words is "one hundred forty billion, four hundred thirteen million, one hundred thirteen thousand".