42320413440 has 432 divisors, whose sum is σ = 152672083200. Its totient is φ = 11224313856.

The previous prime is 42320413393. The next prime is 42320413441. The reversal of 42320413440 is 4431402324.

It is a happy number.

42320413440 is a `hidden beast` number, since 4 + 2 + 3 + 204 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (42320413441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111663171 + ... + 111663549.

It is an arithmetic number, because the mean of its divisors is an integer number (353407600).

Almost surely, 2^42320413440 is an apocalyptic number.

42320413440 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 42320413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76336041600).

42320413440 is an abundant number, since it is smaller than the sum of its proper divisors (110351669760).

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

42320413440 is an equidigital number, since it uses as much as digits as its factorization.

42320413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42320413440 its reverse (4431402324), we get a palindrome (46751815764).

The spelling of 42320413440 in words is "forty-two billion, three hundred twenty million, four hundred thirteen thousand, four hundred forty".