434401332444 has 72 divisors (see below), whose sum is σ = 1109927145600. Its totient is φ = 143238316032.

The previous prime is 434401332331. The next prime is 434401332451. The reversal of 434401332444 is 444233104434.

434401332444 is a `hidden beast` number, since 4 + 3 + 4 + 401 + 3 + 3 + 244 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434401332399 and 434401332408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7454332 + ... + 7512380.

It is an arithmetic number, because the mean of its divisors is an integer number (15415654800).

Almost surely, 2^434401332444 is an apocalyptic number.

It is an amenable number.

434401332444 is an abundant number, since it is smaller than the sum of its proper divisors (675525813156).

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

434401332444 is a wasteful number, since it uses less digits than its factorization.

434401332444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60299 (or 60294 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434401332444 its reverse (444233104434), we get a palindrome (878634436878).

The spelling of 434401332444 in words is "four hundred thirty-four billion, four hundred one million, three hundred thirty-two thousand, four hundred forty-four".