114400322001240 has 256 divisors, whose sum is σ = 383126172549120. Its totient is φ = 27087167331840.

The previous prime is 114400322001221. The next prime is 114400322001241. The reversal of 114400322001240 is 42100223004411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114400322001240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400322001241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797387097 + ... + 1797450743.

It is an arithmetic number, because the mean of its divisors is an integer number (1496586611520).

Almost surely, 2^{114400322001240} is an apocalyptic number.

114400322001240 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 114400322001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191563086274560).

114400322001240 is an abundant number, since it is smaller than the sum of its proper divisors (268725850547880).

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

114400322001240 is a wasteful number, since it uses less digits than its factorization.

114400322001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95382 (or 95378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114400322001240 its reverse (42100223004411), we get a palindrome (156500545005651).

The spelling of 114400322001240 in words is "one hundred fourteen trillion, four hundred billion, three hundred twenty-two million, one thousand, two hundred forty".