114021450400 has 288 divisors, whose sum is σ = 327681402048. Its totient is φ = 38195404800.

The previous prime is 114021450371. The next prime is 114021450401. The reversal of 114021450400 is 4054120411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (114021450401) 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, 98040219 + ... + 98041381.

It is an arithmetic number, because the mean of its divisors is an integer number (1137782646).

Almost surely, 2^114021450400 is an apocalyptic number.

114021450400 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 114021450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840701024).

114021450400 is an abundant number, since it is smaller than the sum of its proper divisors (213659951648).

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

114021450400 is a wasteful number, since it uses less digits than its factorization.

114021450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 114021450400 its reverse (4054120411), we get a palindrome (118075570811).

The spelling of 114021450400 in words is "one hundred fourteen billion, twenty-one million, four hundred fifty thousand, four hundred".