40408992 has 144 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 12096000.

The previous prime is 40408981. The next prime is 40408993. The reversal of 40408992 is 29980404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (40408993) 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, 160867 + ... + 161117.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^40408992 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 40408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

40408992 is an abundant number, since it is smaller than the sum of its proper divisors (86726016).

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

40408992 is a wasteful number, since it uses less digits than its factorization.

40408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40408992 is about 6356.8067455288. The cubic root of 40408992 is about 343.1568498410.

The spelling of 40408992 in words is "forty million, four hundred eight thousand, nine hundred ninety-two".