340404414633306 has 96 divisors (see below), whose sum is σ = 754039449933120. Its totient is φ = 110945081624832.

The previous prime is 340404414633301. The next prime is 340404414633319. The reversal of 340404414633306 is 603336414404043.

340404414633306 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 4 + 4 + 1 + 4 + 633 + 3 + 0 + 6 = 666.

It is a super-3 number, since 3×340404414633306³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (340404414633301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271612085 + ... + 1271879751.

It is an arithmetic number, because the mean of its divisors is an integer number (7854577603470).

Almost surely, 2^{340404414633306} is an apocalyptic number.

340404414633306 is an abundant number, since it is smaller than the sum of its proper divisors (413635035299814).

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

340404414633306 is a wasteful number, since it uses less digits than its factorization.

340404414633306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272300 (or 272297 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 340404414633306 in words is "three hundred forty trillion, four hundred four billion, four hundred fourteen million, six hundred thirty-three thousand, three hundred six".