340009612800 has 1080 divisors, whose sum is σ = 1339953659352. Its totient is φ = 75910348800.

The previous prime is 340009612793. The next prime is 340009612849. The reversal of 340009612800 is 8216900043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 785241384 + ... + 785241816.

Almost surely, 2^340009612800 is an apocalyptic number.

340009612800 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 340009612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669976829676).

340009612800 is an abundant number, since it is smaller than the sum of its proper divisors (999944046552).

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

340009612800 is a wasteful number, since it uses less digits than its factorization.

340009612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 340009612800 in words is "three hundred forty billion, nine million, six hundred twelve thousand, eight hundred".