42407442 has 192 divisors, whose sum is σ = 126074880. Its totient is φ = 10432800.

The previous prime is 42407441. The next prime is 42407461. The reversal of 42407442 is 24470424.

It is a super-2 number, since 2×42407442² = 3596782273966728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42407441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 902263 + ... + 902309.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 2^42407442 is an apocalyptic number.

42407442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037440).

42407442 is an abundant number, since it is smaller than the sum of its proper divisors (83667438).

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

42407442 is a wasteful number, since it uses less digits than its factorization.

42407442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42407442 is about 6512.0996613995. The cubic root of 42407442 is about 348.7230803594.

Adding to 42407442 its reverse (24470424), we get a palindrome (66877866).

It can be divided in two parts, 42407 and 442, that added together give a square (42849 = 207²).

The spelling of 42407442 in words is "forty-two million, four hundred seven thousand, four hundred forty-two".