414040004442 has 12 divisors (see below), whose sum is σ = 897086676330. Its totient is φ = 138013334808.

The previous prime is 414040004431. The next prime is 414040004447. The reversal of 414040004442 is 244400040414.

414040004442 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 412460657361 + 1579347081 = 642231^2 + 39741^2 .

It is not an unprimeable number, because it can be changed into a prime (414040004447) by changing a digit.

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, 11501111217 + ... + 11501111252.

Almost surely, 2^414040004442 is an apocalyptic number.

414040004442 is an abundant number, since it is smaller than the sum of its proper divisors (483046671888).

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

414040004442 is a wasteful number, since it uses less digits than its factorization.

414040004442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002222477 (or 23002222474 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 414040004442 its reverse (244400040414), we get a palindrome (658440044856).

The spelling of 414040004442 in words is "four hundred fourteen billion, forty million, four thousand, four hundred forty-two".