114402032330220 has 288 divisors, whose sum is σ = 354942273853440. Its totient is φ = 29812713638400.

The previous prime is 114402032330119. The next prime is 114402032330221. The reversal of 114402032330220 is 22033230204411.

114402032330220 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 203 + 233 + 0 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (114402032330221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25865254929 + ... + 25865259351.

It is an arithmetic number, because the mean of its divisors is an integer number (1232438450880).

Almost surely, 2^{114402032330220} is an apocalyptic number.

114402032330220 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 114402032330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177471136926720).

114402032330220 is an abundant number, since it is smaller than the sum of its proper divisors (240540241523220).

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

114402032330220 is a wasteful number, since it uses less digits than its factorization.

114402032330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 114402032330220 its reverse (22033230204411), we get a palindrome (136435262534631).

The spelling of 114402032330220 in words is "one hundred fourteen trillion, four hundred two billion, thirty-two million, three hundred thirty thousand, two hundred twenty".