114030162664440 has 256 divisors, whose sum is σ = 395157047339520. Its totient is φ = 26016583434240.

The previous prime is 114030162664381. The next prime is 114030162664549. The reversal of 114030162664440 is 44466261030411.

It is a happy number.

It is a super-2 number, since 2×114030162664440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114030162664392 and 114030162664401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699889467 + ... + 700052373.

It is an arithmetic number, because the mean of its divisors is an integer number (1543582216170).

Almost surely, 2^{114030162664440} is an apocalyptic number.

114030162664440 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 114030162664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197578523669760).

114030162664440 is an abundant number, since it is smaller than the sum of its proper divisors (281126884675080).

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

114030162664440 is a wasteful number, since it uses less digits than its factorization.

114030162664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194142 (or 194138 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 114030162664440 in words is "one hundred fourteen trillion, thirty billion, one hundred sixty-two million, six hundred sixty-four thousand, four hundred forty".