42301440 has 288 divisors, whose sum is σ = 160982640. Its totient is φ = 10616832.

The previous prime is 42301421. The next prime is 42301447. The reversal of 42301440 is 4410324.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488312 + ... + 2488328.

Almost surely, 2^42301440 is an apocalyptic number.

42301440 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 42301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

42301440 is an abundant number, since it is smaller than the sum of its proper divisors (118681200).

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

42301440 is an equidigital number, since it uses as much as digits as its factorization.

42301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42301440 is about 6503.9557194065. The cubic root of 42301440 is about 348.4322808779.

Adding to 42301440 its reverse (4410324), we get a palindrome (46711764).

The spelling of 42301440 in words is "forty-two million, three hundred one thousand, four hundred forty".