434340848844 has 432 divisors, whose sum is σ = 1401834470400. Its totient is φ = 112619808000.

The previous prime is 434340848827. The next prime is 434340848867. The reversal of 434340848844 is 448848043434.

434340848844 is a `hidden beast` number, since 43 + 43 + 40 + 8 + 488 + 44 = 666.

It is a super-2 number, since 2×434340848844² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104936527 + ... + 104940665.

It is an arithmetic number, because the mean of its divisors is an integer number (3244987200).

Almost surely, 2^434340848844 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 434340848844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700917235200).

434340848844 is an abundant number, since it is smaller than the sum of its proper divisors (967493621556).

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

434340848844 is a wasteful number, since it uses less digits than its factorization.

434340848844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 434340848844 in words is "four hundred thirty-four billion, three hundred forty million, eight hundred forty-eight thousand, eight hundred forty-four".