404024142400 has 42 divisors (see below), whose sum is σ = 994151909330. Its totient is φ = 161609656320.

The previous prime is 404024142383. The next prime is 404024142407. The reversal of 404024142400 is 4241420404.

It can be written as a sum of positive squares in 3 ways, for example, as 4974198784 + 399049943616 = 70528^2 + 631704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (404024142407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 126255945 + ... + 126259144.

Almost surely, 2^404024142400 is an apocalyptic number.

404024142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404024142400 is an abundant number, since it is smaller than the sum of its proper divisors (590127766930).

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

404024142400 is a wasteful number, since it uses less digits than its factorization.

404024142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252515111 (or 252515096 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 404024142400 its reverse (4241420404), we get a palindrome (408265562804).

The spelling of 404024142400 in words is "four hundred four billion, twenty-four million, one hundred forty-two thousand, four hundred".