4000204402240 has 56 divisors (see below), whose sum is σ = 9574841734200. Its totient is φ = 1591791157248.

The previous prime is 4000204402237. The next prime is 4000204402279. The reversal of 4000204402240 is 422044020004.

It can be written as a sum of positive squares in 4 ways, for example, as 9542945344 + 3990661456896 = 97688^2 + 1997664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32323315 + ... + 32446834.

Almost surely, 2^{4000204402240} is an apocalyptic number.

4000204402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000204402240 is an abundant number, since it is smaller than the sum of its proper divisors (5574637331960).

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

4000204402240 is a wasteful number, since it uses less digits than its factorization.

4000204402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64770359 (or 64770349 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4000204402240 its reverse (422044020004), we get a palindrome (4422248422244).

The spelling of 4000204402240 in words is "four trillion, two hundred four million, four hundred two thousand, two hundred forty".