140013030400400 has 60 divisors (see below), whose sum is σ = 336578136498900. Its totient is φ = 55972441136640.

The previous prime is 140013030400393. The next prime is 140013030400403. The reversal of 140013030400400 is 4004030310041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 106620534784 + 139906409865616 = 326528^2 + 11828204^2 .

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

It is not an unprimeable number, because it can be changed into a prime (140013030400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101724995 + ... + 103092194.

It is an arithmetic number, because the mean of its divisors is an integer number (5609635608315).

Almost surely, 2^{140013030400400} is an apocalyptic number.

140013030400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140013030400400 is an abundant number, since it is smaller than the sum of its proper divisors (196565106098500).

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

140013030400400 is a wasteful number, since it uses less digits than its factorization.

140013030400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204818916 (or 204818905 counting only the distinct ones).

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

Adding to 140013030400400 its reverse (4004030310041), we get a palindrome (144017060710441).

The spelling of 140013030400400 in words is "one hundred forty trillion, thirteen billion, thirty million, four hundred thousand, four hundred".