10434516352 has 128 divisors (see below), whose sum is σ = 23595586560. Its totient is φ = 4560095232.

The previous prime is 10434516347. The next prime is 10434516371. The reversal of 10434516352 is 25361543401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3940693 + ... + 3943339.

It is an arithmetic number, because the mean of its divisors is an integer number (184340520).

Almost surely, 2^10434516352 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 10434516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797793280).

10434516352 is an abundant number, since it is smaller than the sum of its proper divisors (13161070208).

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

10434516352 is a wasteful number, since it uses less digits than its factorization.

10434516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 10434516352 in words is "ten billion, four hundred thirty-four million, five hundred sixteen thousand, three hundred fifty-two".