404000141443344 has 120 divisors (see below), whose sum is σ = 1163955297596312. Its totient is φ = 130715843973120.

The previous prime is 404000141443309. The next prime is 404000141443351. The reversal of 404000141443344 is 443344141000404.

404000141443344 is a `hidden beast` number, since 4 + 0 + 40 + 0 + 0 + 141 + 4 + 433 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97511675040000 + 306488466403344 = 9874800^2 + 17506812^2 .

It is a super-2 number, since 2×404000141443344² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 404000141443299 and 404000141443308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87811369 + ... + 92297544.

Almost surely, 2^{404000141443344} is an apocalyptic number.

It is an amenable number.

404000141443344 is an abundant number, since it is smaller than the sum of its proper divisors (759955156152968).

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

404000141443344 is a wasteful number, since it uses less digits than its factorization.

404000141443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180109385 (or 180109376 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 404000141443344 its reverse (443344141000404), we get a palindrome (847344282443748).

The spelling of 404000141443344 in words is "four hundred four trillion, one hundred forty-one million, four hundred forty-three thousand, three hundred forty-four".