114240022244400 has 240 divisors, whose sum is σ = 394153288574976. Its totient is φ = 28116731765760.

The previous prime is 114240022244393. The next prime is 114240022244423. The reversal of 114240022244400 is 4442220042411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113112049 + ... + 114117551.

Almost surely, 2^{114240022244400} is an apocalyptic number.

114240022244400 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 114240022244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197076644287488).

114240022244400 is an abundant number, since it is smaller than the sum of its proper divisors (279913266330576).

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

114240022244400 is a wasteful number, since it uses less digits than its factorization.

114240022244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012820 (or 1012809 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 114240022244400 its reverse (4442220042411), we get a palindrome (118682242286811).

The spelling of 114240022244400 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-two million, two hundred forty-four thousand, four hundred".