140113404330400 has 288 divisors, whose sum is σ = 376148328716160. Its totient is φ = 50727731281920.

The previous prime is 140113404330349. The next prime is 140113404330401. The reversal of 140113404330400 is 4033404311041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (140113404330401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299373372 + ... + 299841028.

It is an arithmetic number, because the mean of its divisors is an integer number (1306070585820).

Almost surely, 2^{140113404330400} is an apocalyptic number.

140113404330400 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 140113404330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188074164358080).

140113404330400 is an abundant number, since it is smaller than the sum of its proper divisors (236034924385760).

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

140113404330400 is a wasteful number, since it uses less digits than its factorization.

140113404330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468576 (or 468563 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140113404330400 its reverse (4033404311041), we get a palindrome (144146808641441).

The spelling of 140113404330400 in words is "one hundred forty trillion, one hundred thirteen billion, four hundred four million, three hundred thirty thousand, four hundred".