10340021920 has 144 divisors (see below), whose sum is σ = 26675013960. Its totient is φ = 3782596608.

The previous prime is 10340021917. The next prime is 10340021921. The reversal of 10340021920 is 2912004301.

It can be written as a sum of positive squares in 4 ways, for example, as 5027944464 + 5312077456 = 70908^2 + 72884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10340021891 and 10340021900.

It is not an unprimeable number, because it can be changed into a prime (10340021921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671954 + ... + 1678126.

Almost surely, 2^10340021920 is an apocalyptic number.

10340021920 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 10340021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337506980).

10340021920 is an abundant number, since it is smaller than the sum of its proper divisors (16334992040).

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

10340021920 is a wasteful number, since it uses less digits than its factorization.

10340021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10340021920 in words is "ten billion, three hundred forty million, twenty-one thousand, nine hundred twenty".