114314514254040 has 128 divisors (see below), whose sum is σ = 344952850763520. Its totient is φ = 30305654054400.

The previous prime is 114314514253997. The next prime is 114314514254069. The reversal of 114314514254040 is 40452415413411.

It is a super-2 number, since 2×114314514254040² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114314514254040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15786250 + ... + 21859430.

It is an arithmetic number, because the mean of its divisors is an integer number (2694944146590).

Almost surely, 2^{114314514254040} is an apocalyptic number.

114314514254040 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 114314514254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172476425381760).

114314514254040 is an abundant number, since it is smaller than the sum of its proper divisors (230638336509480).

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

114314514254040 is a wasteful number, since it uses less digits than its factorization.

114314514254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074113 (or 6074109 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 114314514254040 its reverse (40452415413411), we get a palindrome (154766929667451).

The spelling of 114314514254040 in words is "one hundred fourteen trillion, three hundred fourteen billion, five hundred fourteen million, two hundred fifty-four thousand, forty".