340058336544 has 432 divisors, whose sum is σ = 1038042637632. Its totient is φ = 105527052288.

The previous prime is 340058336539. The next prime is 340058336551. The reversal of 340058336544 is 445633850043.

340058336544 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 583 + 3 + 65 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 340058336544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1072739074 + ... + 1072739390.

It is an arithmetic number, because the mean of its divisors is an integer number (2402876476).

Almost surely, 2^340058336544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340058336544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519021318816).

340058336544 is an abundant number, since it is smaller than the sum of its proper divisors (697984301088).

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

340058336544 is a wasteful number, since it uses less digits than its factorization.

340058336544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 340058336544 in words is "three hundred forty billion, fifty-eight million, three hundred thirty-six thousand, five hundred forty-four".