42061244216024 has 64 divisors (see below), whose sum is σ = 86936085250560. Its totient is φ = 18918431677440.

The previous prime is 42061244215981. The next prime is 42061244216027.

42061244216024 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 (42061244216027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50177189 + ... + 51008555.

It is an arithmetic number, because the mean of its divisors is an integer number (1358376332040).

Almost surely, 2^{42061244216024} is an apocalyptic number.

42061244216024 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 42061244216024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43468042625280).

42061244216024 is an abundant number, since it is smaller than the sum of its proper divisors (44874841034536).

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

42061244216024 is a wasteful number, since it uses less digits than its factorization.

42061244216024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837408 (or 837404 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 42061244216024 in words is "forty-two trillion, sixty-one billion, two hundred forty-four million, two hundred sixteen thousand, twenty-four".