40395960 has 144 divisors (see below), whose sum is σ = 144654120. Its totient is φ = 9696000.

The previous prime is 40395959. The next prime is 40395977. The reversal of 40395960 is 6959304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399910 + ... + 400010.

Almost surely, 2^40395960 is an apocalyptic number.

40395960 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 40395960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72327060).

40395960 is an abundant number, since it is smaller than the sum of its proper divisors (104258160).

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

40395960 is a wasteful number, since it uses less digits than its factorization.

40395960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40395960 is about 6355.7816199111. The cubic root of 40395960 is about 343.1199562299.

It can be divided in two parts, 4039 and 5960, that added together give a palindrome (9999).

The spelling of 40395960 in words is "forty million, three hundred ninety-five thousand, nine hundred sixty".