340114085040 has 80 divisors (see below), whose sum is σ = 1056425464800. Its totient is φ = 90518870016.

The previous prime is 340114085039. The next prime is 340114085081. The reversal of 340114085040 is 40580411043.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 340114084989 and 340114085007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269925 + ... + 1514244.

It is an arithmetic number, because the mean of its divisors is an integer number (13205318310).

Almost surely, 2^340114085040 is an apocalyptic number.

340114085040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340114085040 is an abundant number, since it is smaller than the sum of its proper divisors (716311379760).

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

340114085040 is a wasteful number, since it uses less digits than its factorization.

340114085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784694 (or 2784688 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 340114085040 its reverse (40580411043), we get a palindrome (380694496083).

The spelling of 340114085040 in words is "three hundred forty billion, one hundred fourteen million, eighty-five thousand, forty".