434402222100 has 288 divisors, whose sum is σ = 1582530711552. Its totient is φ = 89371200000.

The previous prime is 434402222077. The next prime is 434402222119. The reversal of 434402222100 is 1222204434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2240005 + ... + 2426195.

It is an arithmetic number, because the mean of its divisors is an integer number (5494898304).

Almost surely, 2^434402222100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434402222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791265355776).

434402222100 is an abundant number, since it is smaller than the sum of its proper divisors (1148128489452).

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

434402222100 is a wasteful number, since it uses less digits than its factorization.

434402222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186327 (or 186320 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 434402222100 its reverse (1222204434), we get a palindrome (435624426534).

The spelling of 434402222100 in words is "four hundred thirty-four billion, four hundred two million, two hundred twenty-two thousand, one hundred".