2405345330400 has 144 divisors (see below), whose sum is σ = 7850060064000. Its totient is φ = 639732764160.

The previous prime is 2405345330363. The next prime is 2405345330417. The reversal of 2405345330400 is 40335435042.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412600 + ... + 2231799.

It is an arithmetic number, because the mean of its divisors is an integer number (54514306000).

Almost surely, 2^{2405345330400} is an apocalyptic number.

2405345330400 is a gapful number since it is divisible by the number (20) 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 2405345330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925030032000).

2405345330400 is an abundant number, since it is smaller than the sum of its proper divisors (5444714733600).

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

2405345330400 is a wasteful number, since it uses less digits than its factorization.

2405345330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644801 (or 2644788 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 2405345330400 in words is "two trillion, four hundred five billion, three hundred forty-five million, three hundred thirty thousand, four hundred".