340438891628160 has 384 divisors, whose sum is σ = 1312896288936960. Its totient is φ = 83800342056960.

The previous prime is 340438891628093. The next prime is 340438891628197. The reversal of 340438891628160 is 61826198834043.

340438891628160 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 388 + 91 + 6 + 2 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82171936 + ... + 86215455.

It is an arithmetic number, because the mean of its divisors is an integer number (3419000752440).

Almost surely, 2^{340438891628160} is an apocalyptic number.

340438891628160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340438891628160 is an abundant number, since it is smaller than the sum of its proper divisors (972457397308800).

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

340438891628160 is a wasteful number, since it uses less digits than its factorization.

340438891628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168387438 (or 168387414 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 340438891628160 in words is "three hundred forty trillion, four hundred thirty-eight billion, eight hundred ninety-one million, six hundred twenty-eight thousand, one hundred sixty".