340021612800 has 1296 divisors, whose sum is σ = 1323770273280. Its totient is φ = 83091456000.

The previous prime is 340021612769. The next prime is 340021612811. The reversal of 340021612800 is 8216120043.

340021612800 is a `hidden beast` number, since 3 + 40 + 0 + 2 + 1 + 612 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×340021612800² (a number of 24 digits) contains 22 as substring.

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, 4789036765 + ... + 4789036835.

It is an arithmetic number, because the mean of its divisors is an integer number (1021427680).

Almost surely, 2^340021612800 is an apocalyptic number.

340021612800 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 340021612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661885136640).

340021612800 is an abundant number, since it is smaller than the sum of its proper divisors (983748660480).

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

340021612800 is a wasteful number, since it uses less digits than its factorization.

340021612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 340021612800 its reverse (8216120043), we get a palindrome (348237732843).

The spelling of 340021612800 in words is "three hundred forty billion, twenty-one million, six hundred twelve thousand, eight hundred".