42464112000 has 128 divisors (see below), whose sum is σ = 140768690400. Its totient is φ = 11323750400.

The previous prime is 42464111999. The next prime is 42464112001. The reversal of 42464112000 is 21146424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42464111999) and next prime (42464112001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42464112001) 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 15 ways as a sum of consecutive naturals, for example, 394335 + ... + 490334.

Almost surely, 2^42464112000 is an apocalyptic number.

42464112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42464112000 is an abundant number, since it is smaller than the sum of its proper divisors (98304578400).

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

42464112000 is an equidigital number, since it uses as much as digits as its factorization.

42464112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884701 (or 884679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42464112000 its reverse (21146424), we get a palindrome (42485258424).

The spelling of 42464112000 in words is "forty-two billion, four hundred sixty-four million, one hundred twelve thousand".