340406188800 has 648 divisors, whose sum is σ = 1223173586880. Its totient is φ = 83137536000.

The previous prime is 340406188783. The next prime is 340406188823. The reversal of 340406188800 is 8881604043.

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, 350572315 + ... + 350573285.

It is an arithmetic number, because the mean of its divisors is an integer number (1887613560).

Almost surely, 2^340406188800 is an apocalyptic number.

340406188800 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 340406188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611586793440).

340406188800 is an abundant number, since it is smaller than the sum of its proper divisors (882767398080).

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

340406188800 is a wasteful number, since it uses less digits than its factorization.

340406188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 340406188800 in words is "three hundred forty billion, four hundred six million, one hundred eighty-eight thousand, eight hundred".