340891228800 has 432 divisors, whose sum is σ = 1237034304090. Its totient is φ = 89385984000.

The previous prime is 340891228789. The next prime is 340891228877. The reversal of 340891228800 is 8822198043.

340891228800 is a `hidden beast` number, since 340 + 8 + 9 + 1 + 228 + 80 + 0 = 666.

340891228800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 111112888896 + 229778339904 = 333336^2 + 479352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 107163210 + ... + 107166390.

Almost surely, 2^340891228800 is an apocalyptic number.

340891228800 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 340891228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618517152045).

340891228800 is an abundant number, since it is smaller than the sum of its proper divisors (896143075290).

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

340891228800 is a wasteful number, since it uses less digits than its factorization.

340891228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 340891228800 in words is "three hundred forty billion, eight hundred ninety-one million, two hundred twenty-eight thousand, eight hundred".