40872960 has 132 divisors (see below), whose sum is σ = 141783408. Its totient is φ = 10887168.

The previous prime is 40872959. The next prime is 40873013. The reversal of 40872960 is 6927804.

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

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 11 ways as a sum of consecutive naturals, for example, 45637 + ... + 46523.

Almost surely, 2^40872960 is an apocalyptic number.

40872960 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 40872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70891704).

40872960 is an abundant number, since it is smaller than the sum of its proper divisors (100910448).

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

40872960 is a wasteful number, since it uses less digits than its factorization.

40872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40872960 is about 6393.1963836566. The cubic root of 40872960 is about 344.4652079825.

The spelling of 40872960 in words is "forty million, eight hundred seventy-two thousand, nine hundred sixty".