401404104 has 48 divisors (see below), whose sum is σ = 1113659820. Its totient is φ = 130536960.

The previous prime is 401404093. The next prime is 401404117.

401404104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 400400100 + 1004004 = 20010^2 + 1002^2 .

It is a super-2 number, since 2×401404104² = 322250509416085632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65037 + ... + 70940.

Almost surely, 2^401404104 is an apocalyptic number.

It is an amenable number.

401404104 is an abundant number, since it is smaller than the sum of its proper divisors (712255716).

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

401404104 is a wasteful number, since it uses less digits than its factorization.

401404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136030 (or 136023 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401404104 is about 20035.0718491350. The cubic root of 401404104 is about 737.6674201544.

It can be divided in two parts, 40140 and 4104, that added together give a palindrome (44244).

The spelling of 401404104 in words is "four hundred one million, four hundred four thousand, one hundred four".