42023040 has 128 divisors (see below), whose sum is σ = 137332800. Its totient is φ = 10924032.

The previous prime is 42023039. The next prime is 42023057. The reversal of 42023040 is 4032024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 82306 + ... + 82814.

Almost surely, 2^42023040 is an apocalyptic number.

42023040 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 42023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68666400).

42023040 is an abundant number, since it is smaller than the sum of its proper divisors (95309760).

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

42023040 is a wasteful number, since it uses less digits than its factorization.

42023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42023040 is about 6482.5180292846. The cubic root of 42023040 is about 347.6662144996. Note that the first 3 decimals are identical.

Adding to 42023040 its reverse (4032024), we get a palindrome (46055064).

The spelling of 42023040 in words is "forty-two million, twenty-three thousand, forty".