340140114200124 has 288 divisors, whose sum is σ = 1086909657341760. Its totient is φ = 91403264139264.

The previous prime is 340140114200119. The next prime is 340140114200143. The reversal of 340140114200124 is 421002411041043.

340140114200124 is a `hidden beast` number, since 3 + 40 + 1 + 401 + 1 + 4 + 200 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 129416644 + ... + 132018740.

It is an arithmetic number, because the mean of its divisors is an integer number (3773991865770).

Almost surely, 2^{340140114200124} is an apocalyptic number.

340140114200124 is a gapful number since it is divisible by the number (34) 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 340140114200124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543454828670880).

340140114200124 is an abundant number, since it is smaller than the sum of its proper divisors (746769543141636).

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

340140114200124 is a wasteful number, since it uses less digits than its factorization.

340140114200124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603594 (or 2603579 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 340140114200124 its reverse (421002411041043), we get a palindrome (761142525241167).

The spelling of 340140114200124 in words is "three hundred forty trillion, one hundred forty billion, one hundred fourteen million, two hundred thousand, one hundred twenty-four".