434625611610 has 128 divisors (see below), whose sum is σ = 1119515904000. Its totient is φ = 107658415872.

The previous prime is 434625611557. The next prime is 434625611611. The reversal of 434625611610 is 16116526434.

434625611610 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434625611611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13065459 + ... + 13098681.

It is an arithmetic number, because the mean of its divisors is an integer number (8746218000).

Almost surely, 2^434625611610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434625611610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559757952000).

434625611610 is an abundant number, since it is smaller than the sum of its proper divisors (684890292390).

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

434625611610 is a wasteful number, since it uses less digits than its factorization.

434625611610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 434625611610 in words is "four hundred thirty-four billion, six hundred twenty-five million, six hundred eleven thousand, six hundred ten".