42213960 has 192 divisors, whose sum is σ = 147026880. Its totient is φ = 10886400.

The previous prime is 42213959. The next prime is 42213979. The reversal of 42213960 is 6931224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417910 + ... + 418010.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^42213960 is an apocalyptic number.

42213960 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 42213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

42213960 is an abundant number, since it is smaller than the sum of its proper divisors (104812920).

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

42213960 is a wasteful number, since it uses less digits than its factorization.

42213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42213960 is about 6497.2271008485. The cubic root of 42213960 is about 348.1919274233.

The spelling of 42213960 in words is "forty-two million, two hundred thirteen thousand, nine hundred sixty".