6405993441276 has 144 divisors (see below), whose sum is σ = 17935900336032. Its totient is φ = 1767339509760.

The previous prime is 6405993441257. The next prime is 6405993441329. The reversal of 6405993441276 is 6721443995046.

It is a super-3 number, since 3×6405993441276³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946521 + ... + 3702416.

Almost surely, 2^{6405993441276} is an apocalyptic number.

6405993441276 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6405993441276 is an abundant number, since it is smaller than the sum of its proper divisors (11529906894756).

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

6405993441276 is a wasteful number, since it uses less digits than its factorization.

6405993441276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649052 (or 4649039 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 6405993441276 in words is "six trillion, four hundred five billion, nine hundred ninety-three million, four hundred forty-one thousand, two hundred seventy-six".