10385434840 has 96 divisors (see below), whose sum is σ = 25753502880. Its totient is φ = 3766400000.

The previous prime is 10385434817. The next prime is 10385434867. The reversal of 10385434840 is 4843458301.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10385434793 and 10385434802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938165 + ... + 1943515.

It is an arithmetic number, because the mean of its divisors is an integer number (268265655).

Almost surely, 2^10385434840 is an apocalyptic number.

10385434840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385434840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876751440).

10385434840 is an abundant number, since it is smaller than the sum of its proper divisors (15368068040).

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

10385434840 is a wasteful number, since it uses less digits than its factorization.

10385434840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10385434840 in words is "ten billion, three hundred eighty-five million, four hundred thirty-four thousand, eight hundred forty".