42143464400 has 30 divisors (see below), whose sum is σ = 101249674182. Its totient is φ = 16857385600.

The previous prime is 42143464399. The next prime is 42143464403. The reversal of 42143464400 is 446434124.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3454147984 + 38689316416 = 58772^2 + 196696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143464403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52678931 + ... + 52679730.

Almost surely, 2^42143464400 is an apocalyptic number.

42143464400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42143464400 is an abundant number, since it is smaller than the sum of its proper divisors (59106209782).

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

42143464400 is a wasteful number, since it uses less digits than its factorization.

42143464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105358679 (or 105358668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42143464400 its reverse (446434124), we get a palindrome (42589898524).

The spelling of 42143464400 in words is "forty-two billion, one hundred forty-three million, four hundred sixty-four thousand, four hundred".