40342320 has 160 divisors (see below), whose sum is σ = 146419200. Its totient is φ = 10181376.

The previous prime is 40342307. The next prime is 40342331. The reversal of 40342320 is 2324304.

40342320 is a `hidden beast` number, since 4 + 0 + 342 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40342293 and 40342302.

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, 40549 + ... + 41531.

It is an arithmetic number, because the mean of its divisors is an integer number (915120).

Almost surely, 2^40342320 is an apocalyptic number.

40342320 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 40342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).

40342320 is an abundant number, since it is smaller than the sum of its proper divisors (106076880).

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

40342320 is a wasteful number, since it uses less digits than its factorization.

40342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40342320 is about 6351.5604381915. The cubic root of 40342320 is about 342.9680177123.

Adding to 40342320 its reverse (2324304), we get a palindrome (42666624).

The spelling of 40342320 in words is "forty million, three hundred forty-two thousand, three hundred twenty".