434457754434 has 192 divisors, whose sum is σ = 1085846899200. Its totient is φ = 128632458240.

The previous prime is 434457754421. The next prime is 434457754459.

It is a happy number.

434457754434 is a `hidden beast` number, since 4 + 3 + 44 + 57 + 7 + 544 + 3 + 4 = 666.

434457754434 is nontrivially palindromic in base 10.

434457754434 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50065704 + ... + 50074380.

It is an arithmetic number, because the mean of its divisors is an integer number (5655452600).

Almost surely, 2^434457754434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434457754434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542923449600).

434457754434 is an abundant number, since it is smaller than the sum of its proper divisors (651389144766).

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

434457754434 is a wasteful number, since it uses less digits than its factorization.

434457754434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8869 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 434457754434 in words is "four hundred thirty-four billion, four hundred fifty-seven million, seven hundred fifty-four thousand, four hundred thirty-four".