340858103040 has 1728 divisors, whose sum is σ = 1551719769600. Its totient is φ = 67077144576.

The previous prime is 340858102993. The next prime is 340858103119. The reversal of 340858103040 is 40301858043.

340858103040 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 581 + 0 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340858102986 and 340858103004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2171070642 + ... + 2171070798.

Almost surely, 2^340858103040 is an apocalyptic number.

340858103040 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 340858103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775859884800).

340858103040 is an abundant number, since it is smaller than the sum of its proper divisors (1210861666560).

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

340858103040 is a wasteful number, since it uses less digits than its factorization.

340858103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 340858103040 in words is "three hundred forty billion, eight hundred fifty-eight million, one hundred three thousand, forty".