114424101114400 has 288 divisors, whose sum is σ = 348284836343808. Its totient is φ = 35662659916800.

The previous prime is 114424101114371. The next prime is 114424101114403. The reversal of 114424101114400 is 4411101424411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (114424101114403) 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, 1413248319 + ... + 1413329281.

It is an arithmetic number, because the mean of its divisors is an integer number (1209322348416).

Almost surely, 2^{114424101114400} is an apocalyptic number.

114424101114400 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 114424101114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174142418171904).

114424101114400 is an abundant number, since it is smaller than the sum of its proper divisors (233860735229408).

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

114424101114400 is a wasteful number, since it uses less digits than its factorization.

114424101114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103944 (or 103931 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 114424101114400 its reverse (4411101424411), we get a palindrome (118835202538811).

The spelling of 114424101114400 in words is "one hundred fourteen trillion, four hundred twenty-four billion, one hundred one million, one hundred fourteen thousand, four hundred".