434212314040 has 64 divisors (see below), whose sum is σ = 1009102176000. Its totient is φ = 167980677120.

The previous prime is 434212313993. The next prime is 434212314047. The reversal of 434212314040 is 40413212434.

It is a super-2 number, since 2×434212314040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434212314047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964656 + ... + 2174464.

It is an arithmetic number, because the mean of its divisors is an integer number (15767221500).

Almost surely, 2^434212314040 is an apocalyptic number.

434212314040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434212314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504551088000).

434212314040 is an abundant number, since it is smaller than the sum of its proper divisors (574889861960).

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

434212314040 is a wasteful number, since it uses less digits than its factorization.

434212314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211520 (or 211516 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434212314040 its reverse (40413212434), we get a palindrome (474625526474).

The spelling of 434212314040 in words is "four hundred thirty-four billion, two hundred twelve million, three hundred fourteen thousand, forty".