414031005523144 has 32 divisors (see below), whose sum is σ = 803079871155000. Its totient is φ = 199876417477632.

The previous prime is 414031005523099. The next prime is 414031005523151. The reversal of 414031005523144 is 441325500130414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 300379159102500 + 113651846420644 = 17331450^2 + 10660762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77198032 + ... + 82386880.

Almost surely, 2^{414031005523144} is an apocalyptic number.

It is an amenable number.

414031005523144 is a deficient number, since it is larger than the sum of its proper divisors (389048865631856).

414031005523144 is a wasteful number, since it uses less digits than its factorization.

414031005523144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532817 (or 5532813 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 414031005523144 its reverse (441325500130414), we get a palindrome (855356505653558).

The spelling of 414031005523144 in words is "four hundred fourteen trillion, thirty-one billion, five million, five hundred twenty-three thousand, one hundred forty-four".