114031400504340 has 192 divisors, whose sum is σ = 354916522920960. Its totient is φ = 27124715904000.

The previous prime is 114031400504291. The next prime is 114031400504381. The reversal of 114031400504340 is 43405004130411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114031400504298 and 114031400504307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285435 + ... + 15104445.

It is an arithmetic number, because the mean of its divisors is an integer number (1848523556880).

Almost surely, 2^{114031400504340} is an apocalyptic number.

114031400504340 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 114031400504340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177458261460480).

114031400504340 is an abundant number, since it is smaller than the sum of its proper divisors (240885122416620).

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

114031400504340 is a wasteful number, since it uses less digits than its factorization.

114031400504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819254 (or 14819252 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114031400504340 its reverse (43405004130411), we get a palindrome (157436404634751).

The spelling of 114031400504340 in words is "one hundred fourteen trillion, thirty-one billion, four hundred million, five hundred four thousand, three hundred forty".