40013400405200 has 60 divisors (see below), whose sum is σ = 101787029459820. Its totient is φ = 15063868385280.

The previous prime is 40013400405197. The next prime is 40013400405233. The reversal of 40013400405200 is 250400431004.

It can be written as a sum of positive squares in 6 ways, for example, as 26596391056 + 39986804014144 = 163084^2 + 6323512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2942154995 + ... + 2942168594.

It is an arithmetic number, because the mean of its divisors is an integer number (1696450490997).

Almost surely, 2^{40013400405200} is an apocalyptic number.

40013400405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40013400405200 is an abundant number, since it is smaller than the sum of its proper divisors (61773629054620).

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

40013400405200 is a wasteful number, since it uses less digits than its factorization.

40013400405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884323624 (or 5884323613 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 40013400405200 its reverse (250400431004), we get a palindrome (40263800836204).

The spelling of 40013400405200 in words is "forty trillion, thirteen billion, four hundred million, four hundred five thousand, two hundred".