40335960 has 128 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 8916480.

The previous prime is 40335949. The next prime is 40335961. The reversal of 40335960 is 6953304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40335961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25266 + ... + 26814.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^40335960 is an apocalyptic number.

40335960 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 40335960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

40335960 is an abundant number, since it is smaller than the sum of its proper divisors (102512040).

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

40335960 is a wasteful number, since it uses less digits than its factorization.

40335960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 40335960 is about 6351.0597540883. The cubic root of 40335960 is about 342.9499937015.

It can be divided in two parts, 403 and 35960, that added together give a palindrome (36363).

The spelling of 40335960 in words is "forty million, three hundred thirty-five thousand, nine hundred sixty".