40052320 has 96 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 12480000.

The previous prime is 40052317. The next prime is 40052339. The reversal of 40052320 is 2325004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40052294 and 40052303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10695 + ... + 13945.

It is an arithmetic number, because the mean of its divisors is an integer number (1229256).

Almost surely, 2^40052320 is an apocalyptic number.

40052320 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 40052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004288).

40052320 is an abundant number, since it is smaller than the sum of its proper divisors (77956256).

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

40052320 is a wasteful number, since it uses less digits than its factorization.

40052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 40052320 is about 6328.6902278434. The cubic root of 40052320 is about 342.1442342732.

Adding to 40052320 its reverse (2325004), we get a palindrome (42377324).

The spelling of 40052320 in words is "forty million, fifty-two thousand, three hundred twenty".