342783281318400 has 1440 divisors, whose sum is σ = 1344367540147632. Its totient is φ = 82894100889600.

The previous prime is 342783281318383. The next prime is 342783281318437. The reversal of 342783281318400 is 4813182387243.

It is a happy number.

342783281318400 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 8 + 3 + 281 + 318 + 40 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 50342090086656 + 292441191231744 = 7095216^2 + 17100912^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99849483084 + ... + 99849486516.

Almost surely, 2^{342783281318400} is an apocalyptic number.

342783281318400 is a gapful number since it is divisible by the number (30) 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 342783281318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672183770073816).

342783281318400 is an abundant number, since it is smaller than the sum of its proper divisors (1001584258829232).

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

342783281318400 is a wasteful number, since it uses less digits than its factorization.

342783281318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 342783281318400 in words is "three hundred forty-two trillion, seven hundred eighty-three billion, two hundred eighty-one million, three hundred eighteen thousand, four hundred".