434021100444 has 96 divisors (see below), whose sum is σ = 1205897763840. Its totient is φ = 134643415104.

The previous prime is 434021100431. The next prime is 434021100497. The reversal of 434021100444 is 444001120434.

434021100444 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 211 + 0 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269264 + ... + 2453079.

It is an arithmetic number, because the mean of its divisors is an integer number (12561435040).

Almost surely, 2^434021100444 is an apocalyptic number.

It is an amenable number.

434021100444 is an abundant number, since it is smaller than the sum of its proper divisors (771876663396).

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

434021100444 is a wasteful number, since it uses less digits than its factorization.

434021100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722416 (or 4722408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 434021100444 its reverse (444001120434), we get a palindrome (878022220878).

The spelling of 434021100444 in words is "four hundred thirty-four billion, twenty-one million, one hundred thousand, four hundred forty-four".