10434017792 has 160 divisors (see below), whose sum is σ = 23399627328. Its totient is φ = 4646400000.

The previous prime is 10434017791. The next prime is 10434017809. The reversal of 10434017792 is 29771043401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10434017791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41569667 + ... + 41569917.

Almost surely, 2^10434017792 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 10434017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699813664).

10434017792 is an abundant number, since it is smaller than the sum of its proper divisors (12965609536).

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

10434017792 is an frugal number, since it uses more digits than its factorization.

10434017792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 10434017792 in words is "ten billion, four hundred thirty-four million, seventeen thousand, seven hundred ninety-two".