434316403534440 has 1024 divisors, whose sum is σ = 1702734234624000. Its totient is φ = 86244596121600.

The previous prime is 434316403534399. The next prime is 434316403534487. The reversal of 434316403534440 is 44435304613434.

It is a super-2 number, since 2×434316403534440² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434316403534440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1808770390 + ... + 1809010490.

It is an arithmetic number, because the mean of its divisors is an integer number (1662826401000).

Almost surely, 2^{434316403534440} is an apocalyptic number.

434316403534440 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 434316403534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851367117312000).

434316403534440 is an abundant number, since it is smaller than the sum of its proper divisors (1268417831089560).

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

434316403534440 is a wasteful number, since it uses less digits than its factorization.

434316403534440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240330 (or 240326 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

The spelling of 434316403534440 in words is "four hundred thirty-four trillion, three hundred sixteen billion, four hundred three million, five hundred thirty-four thousand, four hundred forty".