42243133004400 has 60 divisors (see below), whose sum is σ = 135318836061272. Its totient is φ = 11264835467520.

The previous prime is 42243133004383. The next prime is 42243133004437. The reversal of 42243133004400 is 440033134224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17601304219 + ... + 17601306618.

Almost surely, 2^{42243133004400} is an apocalyptic number.

42243133004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42243133004400 is an abundant number, since it is smaller than the sum of its proper divisors (93075703056872).

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

42243133004400 is a wasteful number, since it uses less digits than its factorization.

42243133004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35202610858 (or 35202610847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42243133004400 its reverse (440033134224), we get a palindrome (42683166138624).

The spelling of 42243133004400 in words is "forty-two trillion, two hundred forty-three billion, one hundred thirty-three million, four thousand, four hundred".