434022322240 has 56 divisors (see below), whose sum is σ = 1113016869720. Its totient is φ = 160254394368.

The previous prime is 434022322219. The next prime is 434022322267. The reversal of 434022322240 is 42223220434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43277313024 + 390745009216 = 208032^2 + 625096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434022322199 and 434022322208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52161985 + ... + 52170304.

It is an arithmetic number, because the mean of its divisors is an integer number (19875301245).

Almost surely, 2^434022322240 is an apocalyptic number.

434022322240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434022322240 is an abundant number, since it is smaller than the sum of its proper divisors (678994547480).

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

434022322240 is a wasteful number, since it uses less digits than its factorization.

434022322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104332319 (or 104332309 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 434022322240 its reverse (42223220434), we get a palindrome (476245542674).

The spelling of 434022322240 in words is "four hundred thirty-four billion, twenty-two million, three hundred twenty-two thousand, two hundred forty".