414404223423040 has 56 divisors (see below), whose sum is σ = 987057508436280. Its totient is φ = 165718442938368.

The previous prime is 414404223423007. The next prime is 414404223423041. The reversal of 414404223423040 is 40324322404414.

It can be written as a sum of positive squares in 4 ways, for example, as 2116396486656 + 412287826936384 = 1454784^2 + 20304872^2 .

It is not an unprimeable number, because it can be changed into a prime (414404223423041) 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 7 ways as a sum of consecutive naturals, for example, 167702895 + ... + 170156014.

Almost surely, 2^{414404223423040} is an apocalyptic number.

414404223423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414404223423040 is an abundant number, since it is smaller than the sum of its proper divisors (572653285013240).

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

414404223423040 is a wasteful number, since it uses less digits than its factorization.

414404223423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337862759 (or 337862749 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 414404223423040 its reverse (40324322404414), we get a palindrome (454728545827454).

The spelling of 414404223423040 in words is "four hundred fourteen trillion, four hundred four billion, two hundred twenty-three million, four hundred twenty-three thousand, forty".