340115212800 has 720 divisors, whose sum is σ = 1342004856192. Its totient is φ = 81572659200.

The previous prime is 340115212769. The next prime is 340115212819. The reversal of 340115212800 is 8212511043.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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, 122917017 + ... + 122919783.

Almost surely, 2^340115212800 is an apocalyptic number.

340115212800 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 340115212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671002428096).

340115212800 is an abundant number, since it is smaller than the sum of its proper divisors (1001889643392).

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

340115212800 is a wasteful number, since it uses less digits than its factorization.

340115212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 340115212800 its reverse (8212511043), we get a palindrome (348327723843).

The spelling of 340115212800 in words is "three hundred forty billion, one hundred fifteen million, two hundred twelve thousand, eight hundred".