114010430225200 has 480 divisors, whose sum is σ = 294855563750400. Its totient is φ = 42213453004800.

The previous prime is 114010430225101. The next prime is 114010430225221. The reversal of 114010430225200 is 2522034010411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74467948435 + ... + 74467949965.

It is an arithmetic number, because the mean of its divisors is an integer number (614282424480).

Almost surely, 2^{114010430225200} is an apocalyptic number.

114010430225200 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 114010430225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147427781875200).

114010430225200 is an abundant number, since it is smaller than the sum of its proper divisors (180845133525200).

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

114010430225200 is a wasteful number, since it uses less digits than its factorization.

114010430225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114010430225200 its reverse (2522034010411), we get a palindrome (116532464235611).

The spelling of 114010430225200 in words is "one hundred fourteen trillion, ten billion, four hundred thirty million, two hundred twenty-five thousand, two hundred".