40004416320 has 224 divisors, whose sum is σ = 146712041856. Its totient is φ = 9127526400.

The previous prime is 40004416313. The next prime is 40004416339. The reversal of 40004416320 is 2361440004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68100 + ... + 290940.

Almost surely, 2^40004416320 is an apocalyptic number.

40004416320 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 40004416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73356020928).

40004416320 is an abundant number, since it is smaller than the sum of its proper divisors (106707625536).

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

40004416320 is a wasteful number, since it uses less digits than its factorization.

40004416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222889 (or 222879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40004416320 its reverse (2361440004), we get a palindrome (42365856324).

The spelling of 40004416320 in words is "forty billion, four million, four hundred sixteen thousand, three hundred twenty".