340204301123232 has 768 divisors, whose sum is σ = 1161198549245952. Its totient is φ = 84759354408960.

The previous prime is 340204301123191. The next prime is 340204301123251. The reversal of 340204301123232 is 232321103402043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 340204301123232.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6380040123 + ... + 6380093445.

It is an arithmetic number, because the mean of its divisors is an integer number (1511977277664).

Almost surely, 2^{340204301123232} is an apocalyptic number.

340204301123232 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 340204301123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580599274622976).

340204301123232 is an abundant number, since it is smaller than the sum of its proper divisors (820994248122720).

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

340204301123232 is a wasteful number, since it uses less digits than its factorization.

340204301123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53773 (or 53765 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 340204301123232 its reverse (232321103402043), we get a palindrome (572525404525275).

The spelling of 340204301123232 in words is "three hundred forty trillion, two hundred four billion, three hundred one million, one hundred twenty-three thousand, two hundred thirty-two".