42006144642 has 256 divisors, whose sum is σ = 114421248000. Its totient is φ = 10160640000.

The previous prime is 42006144619. The next prime is 42006144643. The reversal of 42006144642 is 24644160024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42006144643) 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 127 ways as a sum of consecutive naturals, for example, 26236642 + ... + 26238242.

It is an arithmetic number, because the mean of its divisors is an integer number (446958000).

Almost surely, 2^42006144642 is an apocalyptic number.

42006144642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42006144642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57210624000).

42006144642 is an abundant number, since it is smaller than the sum of its proper divisors (72415103358).

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

42006144642 is a wasteful number, since it uses less digits than its factorization.

42006144642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 42006144642 in words is "forty-two billion, six million, one hundred forty-four thousand, six hundred forty-two".