414244144004 has 24 divisors (see below), whose sum is σ = 725799569880. Its totient is φ = 206872936704.

The previous prime is 414244144003. The next prime is 414244144009. The reversal of 414244144004 is 400441442414.

It can be written as a sum of positive squares in 4 ways, for example, as 112326863104 + 301917280900 = 335152^2 + 549470^2 .

It is not an unprimeable number, because it can be changed into a prime (414244144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23018642 + ... + 23036630.

It is an arithmetic number, because the mean of its divisors is an integer number (30241648745).

Almost surely, 2^414244144004 is an apocalyptic number.

It is an amenable number.

414244144004 is a deficient number, since it is larger than the sum of its proper divisors (311555425876).

414244144004 is a wasteful number, since it uses less digits than its factorization.

414244144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24599 (or 24597 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 414244144004 its reverse (400441442414), we get a palindrome (814685586418).

The spelling of 414244144004 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred forty-four thousand, four".