114241544400 has 240 divisors, whose sum is σ = 382332850560. Its totient is φ = 29121792000.

The previous prime is 114241544381. The next prime is 114241544401. The reversal of 114241544400 is 4445142411.

114241544400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×114241544400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241544401) 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, 3498549 + ... + 3531051.

It is an arithmetic number, because the mean of its divisors is an integer number (1593053544).

Almost surely, 2^114241544400 is an apocalyptic number.

114241544400 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 114241544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191166425280).

114241544400 is an abundant number, since it is smaller than the sum of its proper divisors (268091306160).

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

114241544400 is a wasteful number, since it uses less digits than its factorization.

114241544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32654 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 114241544400 its reverse (4445142411), we get a palindrome (118686686811).

The spelling of 114241544400 in words is "one hundred fourteen billion, two hundred forty-one million, five hundred forty-four thousand, four hundred".