6404138314046 has 48 divisors (see below), whose sum is σ = 10632800178000. Its totient is φ = 2890606730880.

The previous prime is 6404138314037. The next prime is 6404138314051.

6404138314046 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6404138313988 and 6404138314006.

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, 135879041 + ... + 135926163.

It is an arithmetic number, because the mean of its divisors is an integer number (221516670375).

Almost surely, 2^{6404138314046} is an apocalyptic number.

6404138314046 is a deficient number, since it is larger than the sum of its proper divisors (4228661863954).

6404138314046 is a wasteful number, since it uses less digits than its factorization.

6404138314046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51065 (or 51054 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 6404138314046 in words is "six trillion, four hundred four billion, one hundred thirty-eight million, three hundred fourteen thousand, forty-six".