6345401333424 has 80 divisors (see below), whose sum is σ = 16579117722720. Its totient is φ = 2091073536000.

The previous prime is 6345401333417. The next prime is 6345401333459. The reversal of 6345401333424 is 4243331045436.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3591924 + ... + 5058924.

It is an arithmetic number, because the mean of its divisors is an integer number (207238971534).

Almost surely, 2^{6345401333424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6345401333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289558861360).

6345401333424 is an abundant number, since it is smaller than the sum of its proper divisors (10233716389296).

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

6345401333424 is a wasteful number, since it uses less digits than its factorization.

6345401333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468038 (or 1468032 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 6345401333424 in words is "six trillion, three hundred forty-five billion, four hundred one million, three hundred thirty-three thousand, four hundred twenty-four".