42006972644 has 96 divisors (see below), whose sum is σ = 92808979200. Its totient is φ = 16530683904.

The previous prime is 42006972641. The next prime is 42006972701. The reversal of 42006972644 is 44627960024.

It is a junction number, because it is equal to n+sod(n) for n = 42006972595 and 42006972604.

It is not an unprimeable number, because it can be changed into a prime (42006972641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436247 + ... + 3448449.

It is an arithmetic number, because the mean of its divisors is an integer number (966760200).

Almost surely, 2^42006972644 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 42006972644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46404489600).

42006972644 is an abundant number, since it is smaller than the sum of its proper divisors (50802006556).

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

42006972644 is a wasteful number, since it uses less digits than its factorization.

42006972644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 42006972644 in words is "forty-two billion, six million, nine hundred seventy-two thousand, six hundred forty-four".