42032422423024 has 320 divisors, whose sum is σ = 96944675143680. Its totient is φ = 17453753856000.

The previous prime is 42032422422989. The next prime is 42032422423027.

42032422423024 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032422423027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4058353654 + ... + 4058364010.

It is an arithmetic number, because the mean of its divisors is an integer number (302952109824).

Almost surely, 2^{42032422423024} is an apocalyptic number.

42032422423024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032422423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48472337571840).

42032422423024 is an abundant number, since it is smaller than the sum of its proper divisors (54912252720656).

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

42032422423024 is a wasteful number, since it uses less digits than its factorization.

42032422423024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4203242 and 2423024, that added together give a palindrome (6626266).

The spelling of 42032422423024 in words is "forty-two trillion, thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, twenty-four".