42232962816 has 288 divisors, whose sum is σ = 136848579840. Its totient is φ = 12741120000.

The previous prime is 42232962787. The next prime is 42232962839. The reversal of 42232962816 is 61826923224.

42232962816 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 9 + 628 + 16 = 666.

42232962816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19082926 + ... + 19085138.

It is an arithmetic number, because the mean of its divisors is an integer number (475168680).

Almost surely, 2^42232962816 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 42232962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68424289920).

42232962816 is an abundant number, since it is smaller than the sum of its proper divisors (94615617024).

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

42232962816 is a wasteful number, since it uses less digits than its factorization.

42232962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2480 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 42232962816 in words is "forty-two billion, two hundred thirty-two million, nine hundred sixty-two thousand, eight hundred sixteen".