6402442442046 has 96 divisors (see below), whose sum is σ = 15470242721280. Its totient is φ = 1760003529984.

The previous prime is 6402442441991. The next prime is 6402442442089.

6402442442046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6402442442046² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6402442441989 and 6402442442007.

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, 3111355 + ... + 4741878.

It is an arithmetic number, because the mean of its divisors is an integer number (161148361680).

Almost surely, 2^{6402442442046} is an apocalyptic number.

6402442442046 is an abundant number, since it is smaller than the sum of its proper divisors (9067800279234).

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

6402442442046 is a wasteful number, since it uses less digits than its factorization.

6402442442046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853358 (or 7853351 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

The spelling of 6402442442046 in words is "six trillion, four hundred two billion, four hundred forty-two million, four hundred forty-two thousand, forty-six".