114023411212410 has 288 divisors, whose sum is σ = 345801133117440. Its totient is φ = 25991650573056.

The previous prime is 114023411212391. The next prime is 114023411212427. The reversal of 114023411212410 is 14212114320411.

114023411212410 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 3 + 411 + 2 + 1 + 241 + 0 = 666.

It is a super-2 number, since 2×114023411212410² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2949904644 + ... + 2949943296.

It is an arithmetic number, because the mean of its divisors is an integer number (1200698378880).

Almost surely, 2^{114023411212410} is an apocalyptic number.

114023411212410 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 114023411212410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172900566558720).

114023411212410 is an abundant number, since it is smaller than the sum of its proper divisors (231777721905030).

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

114023411212410 is a wasteful number, since it uses less digits than its factorization.

114023411212410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40482 (or 40472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114023411212410 its reverse (14212114320411), we get a palindrome (128235525532821).

The spelling of 114023411212410 in words is "one hundred fourteen trillion, twenty-three billion, four hundred eleven million, two hundred twelve thousand, four hundred ten".