40400400400 has 30 divisors (see below), whose sum is σ = 97061962922. Its totient is φ = 16160160000.

The previous prime is 40400400377. The next prime is 40400400401. The reversal of 40400400400 is 400400404.

It can be written as a sum of positive squares in 3 ways, for example, as 4978149136 + 35422251264 = 70556^2 + 188208^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

40400400400 is a modest number, since divided by 400400 gives 40400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40400400401) 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 5 ways as a sum of consecutive naturals, for example, 50500101 + ... + 50500900.

Almost surely, 2^40400400400 is an apocalyptic number.

40400400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400400400 is an abundant number, since it is smaller than the sum of its proper divisors (56661562522).

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

40400400400 is a wasteful number, since it uses less digits than its factorization.

40400400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001019 (or 101001008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40400400400 its reverse (400400404), we get a palindrome (40800800804).

The spelling of 40400400400 in words is "forty billion, four hundred million, four hundred thousand, four hundred".