340400852540352 has 336 divisors, whose sum is σ = 1047275106189312. Its totient is φ = 109512280765440.

The previous prime is 340400852540339. The next prime is 340400852540387. The reversal of 340400852540352 is 253045258004043.

340400852540352 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 0 + 8 + 52 + 540 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340400852540298 and 340400852540307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178881313 + ... + 180774239.

It is an arithmetic number, because the mean of its divisors is an integer number (3116890196992).

Almost surely, 2^{340400852540352} is an apocalyptic number.

340400852540352 is a gapful number since it is divisible by the number (32) 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 340400852540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523637553094656).

340400852540352 is an abundant number, since it is smaller than the sum of its proper divisors (706874253648960).

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

340400852540352 is a wasteful number, since it uses less digits than its factorization.

340400852540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893358 (or 1893336 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 340400852540352 in words is "three hundred forty trillion, four hundred billion, eight hundred fifty-two million, five hundred forty thousand, three hundred fifty-two".