114022402440210 has 256 divisors, whose sum is σ = 346529289093120. Its totient is φ = 26408967425280.

The previous prime is 114022402440119. The next prime is 114022402440311. The reversal of 114022402440210 is 12044204220411.

114022402440210 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 2 + 4 + 0 + 2 + 440 + 210 = 666.

It is a super-2 number, since 2×114022402440210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57290007 + ... + 59246853.

It is an arithmetic number, because the mean of its divisors is an integer number (1353630035520).

Almost surely, 2^{114022402440210} is an apocalyptic number.

114022402440210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114022402440210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173264644546560).

114022402440210 is an abundant number, since it is smaller than the sum of its proper divisors (232506886652910).

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

114022402440210 is a wasteful number, since it uses less digits than its factorization.

114022402440210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957750 (or 1957744 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114022402440210 its reverse (12044204220411), we get a palindrome (126066606660621).

The spelling of 114022402440210 in words is "one hundred fourteen trillion, twenty-two billion, four hundred two million, four hundred forty thousand, two hundred ten".