401661166104 has 192 divisors, whose sum is σ = 1241800878240. Its totient is φ = 116190996480.

The previous prime is 401661166099. The next prime is 401661166111.

401661166104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401661166104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423804 + ... + 1682420.

Almost surely, 2^401661166104 is an apocalyptic number.

401661166104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401661166104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620900439120).

401661166104 is an abundant number, since it is smaller than the sum of its proper divisors (840139712136).

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

401661166104 is a wasteful number, since it uses less digits than its factorization.

401661166104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258730 (or 258723 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 401661 and 166104, that added together give a palindrome (567765).

The spelling of 401661166104 in words is "four hundred one billion, six hundred sixty-one million, one hundred sixty-six thousand, one hundred four".