42526216422144 has 2304 divisors, whose sum is σ = 165939101798400. Its totient is φ = 10441654272000.

The previous prime is 42526216422139. The next prime is 42526216422149. The reversal of 42526216422144 is 44122461262524.

42526216422144 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 6 + 216 + 422 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42526216422139) and next prime (42526216422149).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 42526216422144.

It is not an unprimeable number, because it can be changed into a prime (42526216422149) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75535020007 + ... + 75535020569.

It is an arithmetic number, because the mean of its divisors is an integer number (72022179600).

Almost surely, 2^{42526216422144} 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 42526216422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82969550899200).

42526216422144 is an abundant number, since it is smaller than the sum of its proper divisors (123412885376256).

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

42526216422144 is a wasteful number, since it uses less digits than its factorization.

42526216422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 759 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

Adding to 42526216422144 its reverse (44122461262524), we get a palindrome (86648677684668).

The spelling of 42526216422144 in words is "forty-two trillion, five hundred twenty-six billion, two hundred sixteen million, four hundred twenty-two thousand, one hundred forty-four".