42648223520 has 192 divisors, whose sum is σ = 117133309440. Its totient is φ = 14371872768.

The previous prime is 42648223511. The next prime is 42648223529. The reversal of 42648223520 is 2532284624.

It is an interprime number because it is at equal distance from previous prime (42648223511) and next prime (42648223529).

It is not an unprimeable number, because it can be changed into a prime (42648223529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29351114 + ... + 29352566.

It is an arithmetic number, because the mean of its divisors is an integer number (610069320).

Almost surely, 2^42648223520 is an apocalyptic number.

42648223520 is a gapful number since it is divisible by the number (40) 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 42648223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58566654720).

42648223520 is an abundant number, since it is smaller than the sum of its proper divisors (74485085920).

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

42648223520 is a wasteful number, since it uses less digits than its factorization.

42648223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 42648223520 in words is "forty-two billion, six hundred forty-eight million, two hundred twenty-three thousand, five hundred twenty".