114202011301400 has 192 divisors, whose sum is σ = 290298316370400. Its totient is φ = 41436218880000.

The previous prime is 114202011301397. The next prime is 114202011301453. The reversal of 114202011301400 is 4103110202411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 5712089804 + ... + 5712109796.

Almost surely, 2^{114202011301400} is an apocalyptic number.

114202011301400 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 114202011301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145149158185200).

114202011301400 is an abundant number, since it is smaller than the sum of its proper divisors (176096305069000).

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

114202011301400 is a wasteful number, since it uses less digits than its factorization.

114202011301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25630 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114202011301400 its reverse (4103110202411), we get a palindrome (118305121503811).

The spelling of 114202011301400 in words is "one hundred fourteen trillion, two hundred two billion, eleven million, three hundred one thousand, four hundred".