340282087147200 has 2688 divisors, whose sum is σ = 1348476907954176. Its totient is φ = 74187767808000.

The previous prime is 340282087147151. The next prime is 340282087147241. The reversal of 340282087147200 is 2741780282043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 340282087147200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 468063393237 + ... + 468063393963.

It is an arithmetic number, because the mean of its divisors is an integer number (501665516352).

Almost surely, 2^{340282087147200} is an apocalyptic number.

340282087147200 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 340282087147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674238453977088).

340282087147200 is an abundant number, since it is smaller than the sum of its proper divisors (1008194820806976).

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

340282087147200 is a wasteful number, since it uses less digits than its factorization.

340282087147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 340282087147200 in words is "three hundred forty trillion, two hundred eighty-two billion, eighty-seven million, one hundred forty-seven thousand, two hundred".