442400100440 has 64 divisors (see below), whose sum is σ = 1054045936800. Its totient is φ = 166535968768.

The previous prime is 442400100437. The next prime is 442400100463. The reversal of 442400100440 is 44001004244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10606907 + ... + 10648533.

Almost surely, 2^442400100440 is an apocalyptic number.

442400100440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442400100440 is an abundant number, since it is smaller than the sum of its proper divisors (611645836360).

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

442400100440 is a wasteful number, since it uses less digits than its factorization.

442400100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57284 (or 57280 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 442400100440 its reverse (44001004244), we get a palindrome (486401104684).

The spelling of 442400100440 in words is "four hundred forty-two billion, four hundred million, one hundred thousand, four hundred forty".