401167761104 has 40 divisors (see below), whose sum is σ = 848763503040. Its totient is φ = 182168179200.

The previous prime is 401167761103. The next prime is 401167761109.

401167761104 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401167761101) by changing a digit.

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, 951932 + ... + 1307099.

It is an arithmetic number, because the mean of its divisors is an integer number (21219087576).

Almost surely, 2^401167761104 is an apocalyptic number.

401167761104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401167761104 is an abundant number, since it is smaller than the sum of its proper divisors (447595741936).

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

401167761104 is a wasteful number, since it uses less digits than its factorization.

401167761104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260059 (or 2260053 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 401167761104 in words is "four hundred one billion, one hundred sixty-seven million, seven hundred sixty-one thousand, one hundred four".