42811134144 has 112 divisors (see below), whose sum is σ = 115653312000. Its totient is φ = 13971409920.

The previous prime is 42811134127. The next prime is 42811134161. The reversal of 42811134144 is 44143111824.

42811134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42811134127) and next prime (42811134161).

It is a super-2 number, since 2×42811134144² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 5073609 + ... + 5082039.

Almost surely, 2^42811134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42811134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57826656000).

42811134144 is an abundant number, since it is smaller than the sum of its proper divisors (72842177856).

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

42811134144 is a wasteful number, since it uses less digits than its factorization.

42811134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8988 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

Adding to 42811134144 its reverse (44143111824), we get a palindrome (86954245968).

The spelling of 42811134144 in words is "forty-two billion, eight hundred eleven million, one hundred thirty-four thousand, one hundred forty-four".