414341441152 has 32 divisors (see below), whose sum is σ = 825595481700. Its totient is φ = 207133163520.

The previous prime is 414341441057. The next prime is 414341441219. The reversal of 414341441152 is 251144143414.

It can be written as a sum of positive squares in 2 ways, for example, as 411681357376 + 2660083776 = 641624^2 + 51576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×414341441152³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422202 + ... + 1003462.

Almost surely, 2^414341441152 is an apocalyptic number.

It is an amenable number.

414341441152 is a deficient number, since it is larger than the sum of its proper divisors (411254040548).

414341441152 is an equidigital number, since it uses as much as digits as its factorization.

414341441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586844 (or 586832 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

Adding to 414341441152 its reverse (251144143414), we get a palindrome (665485584566).

The spelling of 414341441152 in words is "four hundred fourteen billion, three hundred forty-one million, four hundred forty-one thousand, one hundred fifty-two".