114221001400 has 96 divisors (see below), whose sum is σ = 291006374400. Its totient is φ = 41348476800.

The previous prime is 114221001343. The next prime is 114221001449. The reversal of 114221001400 is 4100122411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374191 + ... + 607009.

It is an arithmetic number, because the mean of its divisors is an integer number (3031316400).

Almost surely, 2^114221001400 is an apocalyptic number.

114221001400 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 114221001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145503187200).

114221001400 is an abundant number, since it is smaller than the sum of its proper divisors (176785373000).

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

114221001400 is a wasteful number, since it uses less digits than its factorization.

114221001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233069 (or 233060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114221001400 its reverse (4100122411), we get a palindrome (118321123811).

The spelling of 114221001400 in words is "one hundred fourteen billion, two hundred twenty-one million, one thousand, four hundred".