40042000000400 has 30 divisors (see below), whose sum is σ = 96200905001922. Its totient is φ = 16016800000000.

The previous prime is 40042000000369. The next prime is 40042000000469. The reversal of 40042000000400 is 400000024004.

It can be written as a sum of positive squares in 3 ways, for example, as 35952016 + 40041964048384 = 5996^2 + 6327872^2 .

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 5 ways as a sum of consecutive naturals, for example, 50052499601 + ... + 50052500400.

Almost surely, 2^{40042000000400} is an apocalyptic number.

40042000000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042000000400 is an abundant number, since it is smaller than the sum of its proper divisors (56158905001522).

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

40042000000400 is a wasteful number, since it uses less digits than its factorization.

40042000000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000019 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 40042000000400 its reverse (400000024004), we get a palindrome (40442000024404).

The spelling of 40042000000400 in words is "forty trillion, forty-two billion, four hundred", and thus it is an aban number.