401403214404 has 144 divisors (see below), whose sum is σ = 1040573242800. Its totient is φ = 130427781120.

The previous prime is 401403214391. The next prime is 401403214427. The reversal of 401403214404 is 404412304104.

401403214404 is a `hidden beast` number, since 4 + 0 + 1 + 40 + 3 + 214 + 404 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35133753600 + 366269460804 = 187440^2 + 605202^2 .

It is a super-2 number, since 2×401403214404² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154801332 + ... + 154803924.

It is an arithmetic number, because the mean of its divisors is an integer number (7226203075).

Almost surely, 2^401403214404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401403214404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520286621400).

401403214404 is an abundant number, since it is smaller than the sum of its proper divisors (639170028396).

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

401403214404 is a wasteful number, since it uses less digits than its factorization.

401403214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 401403214404 its reverse (404412304104), we get a palindrome (805815518508).

The spelling of 401403214404 in words is "four hundred one billion, four hundred three million, two hundred fourteen thousand, four hundred four".