40044400400 has 30 divisors (see below), whose sum is σ = 96206672922. Its totient is φ = 16017760000.

The previous prime is 40044400391. The next prime is 40044400421. The reversal of 40044400400 is 400444004.

It can be written as a sum of positive squares in 3 ways, for example, as 643738384 + 39400662016 = 25372^2 + 198496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50055101 + ... + 50055900.

Almost surely, 2^40044400400 is an apocalyptic number.

40044400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40044400400 is an abundant number, since it is smaller than the sum of its proper divisors (56162272522).

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

40044400400 is a wasteful number, since it uses less digits than its factorization.

40044400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111019 (or 100111008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40044400400 its reverse (400444004), we get a palindrome (40444844404).

40044400400 divided by its reverse (400444004) gives a square (100 = 10²).

The spelling of 40044400400 in words is "forty billion, forty-four million, four hundred thousand, four hundred".