40407984 has 120 divisors (see below), whose sum is σ = 123672640. Its totient is φ = 12737088.

The previous prime is 40407967. The next prime is 40407989. The reversal of 40407984 is 48970404.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40407989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73599 + ... + 74145.

Almost surely, 2^40407984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40407984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61836320).

40407984 is an abundant number, since it is smaller than the sum of its proper divisors (83264656).

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

40407984 is a wasteful number, since it uses less digits than its factorization.

40407984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40407984 is about 6356.7274599435. The cubic root of 40407984 is about 343.1539964745.

The spelling of 40407984 in words is "forty million, four hundred seven thousand, nine hundred eighty-four".