40080960 has 112 divisors (see below), whose sum is σ = 141427200. Its totient is φ = 10685952.

The previous prime is 40080959. The next prime is 40080961. The reversal of 40080960 is 6908004.

It is an interprime number because it is at equal distance from previous prime (40080959) and next prime (40080961).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40080961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6321 + ... + 10959.

Almost surely, 2^40080960 is an apocalyptic number.

40080960 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 40080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713600).

40080960 is an abundant number, since it is smaller than the sum of its proper divisors (101346240).

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

40080960 is a wasteful number, since it uses less digits than its factorization.

40080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40080960 is about 6330.9525349666. The cubic root of 40080960 is about 342.2257665968.

Adding to 40080960 its reverse (6908004), we get a palindrome (46988964).

The spelling of 40080960 in words is "forty million, eighty thousand, nine hundred sixty".