42335040 has 224 divisors, whose sum is σ = 155082240. Its totient is φ = 9676800.

The previous prime is 42335039. The next prime is 42335053. The reversal of 42335040 is 4053324.

It is a happy number.

It is a super-2 number, since 2×42335040² = 3584511223603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42334998 and 42335016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200535 + ... + 200745.

Almost surely, 2^42335040 is an apocalyptic number.

42335040 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 42335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77541120).

42335040 is an abundant number, since it is smaller than the sum of its proper divisors (112747200).

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

42335040 is a wasteful number, since it uses less digits than its factorization.

42335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42335040 is about 6506.5382500989. The cubic root of 42335040 is about 348.5245096240.

Adding to 42335040 its reverse (4053324), we get a palindrome (46388364).

The spelling of 42335040 in words is "forty-two million, three hundred thirty-five thousand, forty".