434113400322 has 256 divisors, whose sum is σ = 1152231505920. Its totient is φ = 118582424064.

The previous prime is 434113400299. The next prime is 434113400351. The reversal of 434113400322 is 223004311434.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247639398 + ... + 247641150.

It is an arithmetic number, because the mean of its divisors is an integer number (4500904320).

Almost surely, 2^434113400322 is an apocalyptic number.

434113400322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434113400322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576115752960).

434113400322 is an abundant number, since it is smaller than the sum of its proper divisors (718118105598).

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

434113400322 is a wasteful number, since it uses less digits than its factorization.

434113400322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434113400322 its reverse (223004311434), we get a palindrome (657117711756).

The spelling of 434113400322 in words is "four hundred thirty-four billion, one hundred thirteen million, four hundred thousand, three hundred twenty-two".