40320288 has 96 divisors (see below), whose sum is σ = 122774400. Its totient is φ = 12849408.

The previous prime is 40320271. The next prime is 40320289. The reversal of 40320288 is 88202304.

It is a tau number, because it is divible by the number of its divisors (96).

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 (40320289) 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, 18858 + ... + 20886.

It is an arithmetic number, because the mean of its divisors is an integer number (1278900).

Almost surely, 2^40320288 is an apocalyptic number.

40320288 is a gapful number since it is divisible by the number (48) 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 40320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61387200).

40320288 is an abundant number, since it is smaller than the sum of its proper divisors (82454112).

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

40320288 is a wasteful number, since it uses less digits than its factorization.

40320288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40320288 is about 6349.8258243829. The cubic root of 40320288 is about 342.9055717305.

The spelling of 40320288 in words is "forty million, three hundred twenty thousand, two hundred eighty-eight".