340114514040 has 384 divisors, whose sum is σ = 1342723599360. Its totient is φ = 72886874112.

The previous prime is 340114514029. The next prime is 340114514101. The reversal of 340114514040 is 40415411043.

340114514040 is a `hidden beast` number, since 34 + 0 + 114 + 514 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340114513995 and 340114514013.

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, 11251827 + ... + 11282013.

It is an arithmetic number, because the mean of its divisors is an integer number (3496676040).

Almost surely, 2^340114514040 is an apocalyptic number.

340114514040 is a gapful number since it is divisible by the number (30) 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 340114514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671361799680).

340114514040 is an abundant number, since it is smaller than the sum of its proper divisors (1002609085320).

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

340114514040 is a wasteful number, since it uses less digits than its factorization.

340114514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30491 (or 30484 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 340114514040 its reverse (40415411043), we get a palindrome (380529925083).

The spelling of 340114514040 in words is "three hundred forty billion, one hundred fourteen million, five hundred fourteen thousand, forty".