401133343331104 has 48 divisors (see below), whose sum is σ = 797576197332096. Its totient is φ = 198574437600000.

The previous prime is 401133343331093. The next prime is 401133343331131.

401133343331104 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 401133343331104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98674729 + ... + 102659479.

It is an arithmetic number, because the mean of its divisors is an integer number (16616170777752).

Almost surely, 2^{401133343331104} is an apocalyptic number.

It is an amenable number.

401133343331104 is a deficient number, since it is larger than the sum of its proper divisors (396442854000992).

401133343331104 is a wasteful number, since it uses less digits than its factorization.

401133343331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016009 (or 4016001 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 401133343331104 in words is "four hundred one trillion, one hundred thirty-three billion, three hundred forty-three million, three hundred thirty-one thousand, one hundred four".