42221520 has 160 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 10229760.

The previous prime is 42221467. The next prime is 42221527. The reversal of 42221520 is 2512224.

It is a super-2 number, since 2×42221520² = 3565313502220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42221493 and 42221502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221527) 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, 22872 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^42221520 is an apocalyptic number.

42221520 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 42221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

42221520 is an abundant number, since it is smaller than the sum of its proper divisors (116518320).

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

42221520 is a wasteful number, since it uses less digits than its factorization.

42221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42221520 is about 6497.8088614548. The cubic root of 42221520 is about 348.2127118103.

Adding to 42221520 its reverse (2512224), we get a palindrome (44733744).

The spelling of 42221520 in words is "forty-two million, two hundred twenty-one thousand, five hundred twenty".