42919230816 has 288 divisors, whose sum is σ = 152646294528. Its totient is φ = 11112837120.

The previous prime is 42919230803. The next prime is 42919230817. The reversal of 42919230816 is 61803291924.

42919230816 is a `hidden beast` number, since 429 + 192 + 30 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42919230817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7470441 + ... + 7476183.

It is an arithmetic number, because the mean of its divisors is an integer number (530021856).

Almost surely, 2^42919230816 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 42919230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76323147264).

42919230816 is an abundant number, since it is smaller than the sum of its proper divisors (109727063712).

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

42919230816 is a wasteful number, since it uses less digits than its factorization.

42919230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 42919230816 in words is "forty-two billion, nine hundred nineteen million, two hundred thirty thousand, eight hundred sixteen".