340293194496 has 144 divisors (see below), whose sum is σ = 1009548933120. Its totient is φ = 113065620480.

The previous prime is 340293194491. The next prime is 340293194497. The reversal of 340293194496 is 694491392043.

340293194496 is a `hidden beast` number, since 3 + 40 + 29 + 3 + 1 + 94 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (340293194491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070481 + ... + 2228783.

It is an arithmetic number, because the mean of its divisors is an integer number (7010756480).

Almost surely, 2^340293194496 is an apocalyptic number.

340293194496 is a gapful number since it is divisible by the number (36) 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 340293194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504774466560).

340293194496 is an abundant number, since it is smaller than the sum of its proper divisors (669255738624).

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

340293194496 is a wasteful number, since it uses less digits than its factorization.

340293194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158639 (or 158619 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 340293194496 in words is "three hundred forty billion, two hundred ninety-three million, one hundred ninety-four thousand, four hundred ninety-six".