40408884880 has 160 divisors (see below), whose sum is σ = 117992448000. Its totient is φ = 12788633088.

The previous prime is 40408884811. The next prime is 40408884883. The reversal of 40408884880 is 8848880404.

It is a happy number.

It is a super-2 number, since 2×40408884880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (40408884883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300081 + ... + 413359.

It is an arithmetic number, because the mean of its divisors is an integer number (737452800).

Almost surely, 2^40408884880 is an apocalyptic number.

40408884880 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 40408884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58996224000).

40408884880 is an abundant number, since it is smaller than the sum of its proper divisors (77583563120).

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

40408884880 is a wasteful number, since it uses less digits than its factorization.

40408884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113326 (or 113306 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 40408884880 in words is "forty billion, four hundred eight million, eight hundred eighty-four thousand, eight hundred eighty".