42206311360224 has 144 divisors (see below), whose sum is σ = 130952681823600. Its totient is φ = 12788111892480.

The previous prime is 42206311360183. The next prime is 42206311360229.

42206311360224 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 6 + 31 + 13 + 602 + 2 + 4 = 666.

42206311360224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42206311360229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23361154 + ... + 25102910.

It is an arithmetic number, because the mean of its divisors is an integer number (909393623775).

Almost surely, 2^{42206311360224} is an apocalyptic number.

42206311360224 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 42206311360224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65476340911800).

42206311360224 is an abundant number, since it is smaller than the sum of its proper divisors (88746370463376).

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

42206311360224 is a wasteful number, since it uses less digits than its factorization.

42206311360224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749433 (or 1749422 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 4220631 and 1360224, that added together give a palindrome (5580855).

The spelling of 42206311360224 in words is "forty-two trillion, two hundred six billion, three hundred eleven million, three hundred sixty thousand, two hundred twenty-four".