140404131324000 has 768 divisors, whose sum is σ = 527634719539200. Its totient is φ = 36238254336000.

The previous prime is 140404131323993. The next prime is 140404131324013. The reversal of 140404131324000 is 423131404041.

140404131324000 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 413 + 1 + 3 + 240 + 0 + 0 = 666.

140404131324000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 763144021 + ... + 763327979.

It is an arithmetic number, because the mean of its divisors is an integer number (687024374400).

Almost surely, 2^{140404131324000} is an apocalyptic number.

140404131324000 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 140404131324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263817359769600).

140404131324000 is an abundant number, since it is smaller than the sum of its proper divisors (387230588215200).

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

140404131324000 is a wasteful number, since it uses less digits than its factorization.

140404131324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184221 (or 184197 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140404131324000 its reverse (423131404041), we get a palindrome (140827262728041).

The spelling of 140404131324000 in words is "one hundred forty trillion, four hundred four billion, one hundred thirty-one million, three hundred twenty-four thousand".