40214440400 has 60 divisors (see below), whose sum is σ = 96640939212. Its totient is φ = 16081489920.

The previous prime is 40214440361. The next prime is 40214440421. The reversal of 40214440400 is 404441204.

It can be written as a sum of positive squares in 6 ways, for example, as 4487392144 + 35727048256 = 66988^2 + 189016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794062 + ... + 1816338.

Almost surely, 2^40214440400 is an apocalyptic number.

40214440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40214440400 is an abundant number, since it is smaller than the sum of its proper divisors (56426498812).

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

40214440400 is a wasteful number, since it uses less digits than its factorization.

40214440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26808 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 40214440400 its reverse (404441204), we get a palindrome (40618881604).

The spelling of 40214440400 in words is "forty billion, two hundred fourteen million, four hundred forty thousand, four hundred".