40080440400 has 960 divisors, whose sum is σ = 175531431936. Its totient is φ = 7547904000.

The previous prime is 40080440377. The next prime is 40080440429. The reversal of 40080440400 is 404408004.

It is a Cunningham number, because it is equal to 200201²-1.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73272927 + ... + 73273473.

Almost surely, 2^40080440400 is an apocalyptic number.

40080440400 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 40080440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87765715968).

40080440400 is an abundant number, since it is smaller than the sum of its proper divisors (135450991536).

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

40080440400 is a wasteful number, since it uses less digits than its factorization.

40080440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40080440400 its reverse (404408004), we get a palindrome (40484848404).

The spelling of 40080440400 in words is "forty billion, eighty million, four hundred forty thousand, four hundred".