42233402440400 has 60 divisors (see below), whose sum is σ = 104208066949932. Its totient is φ = 16436783646720.

The previous prime is 42233402440381. The next prime is 42233402440457. The reversal of 42233402440400 is 404420433224.

It can be written as a sum of positive squares in 6 ways, for example, as 5431174318144 + 36802228122256 = 2330488^2 + 6066484^2 .

It is a congruent number.

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, 1426789337 + ... + 1426818936.

Almost surely, 2^{42233402440400} is an apocalyptic number.

42233402440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233402440400 is an abundant number, since it is smaller than the sum of its proper divisors (61974664509532).

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

42233402440400 is a wasteful number, since it uses less digits than its factorization.

42233402440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853608328 (or 2853608317 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42233402440400 its reverse (404420433224), we get a palindrome (42637822873624).

The spelling of 42233402440400 in words is "forty-two trillion, two hundred thirty-three billion, four hundred two million, four hundred forty thousand, four hundred".