40960000 has 85 divisors (see below), whose sum is σ = 102366451. Its totient is φ = 16384000.

The previous prime is 40959979. The next prime is 40960001. The reversal of 40960000 is 6904.

It is a happy number.

The square root of 40960000 is 6400.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 37748736 = 1792^2 + 6144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40960000.

It is not an unprimeable number, because it can be changed into a prime (40960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 8191998 + ... + 8192002.

Almost surely, 2^40960000 is an apocalyptic number.

40960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40960000 is the 6400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40960000

40960000 is an abundant number, since it is smaller than the sum of its proper divisors (61406451).

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

40960000 is an frugal number, since it uses more digits than its factorization.

40960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 40960000 is about 344.7095504051.

Adding to 40960000 its reverse (6904), we get a palindrome (40966904).

The spelling of 40960000 in words is "forty million, nine hundred sixty thousand".