10168441920 has 784 divisors, whose sum is σ = 44774876160. Its totient is φ = 2140950528.

The previous prime is 10168441919. The next prime is 10168441961. The reversal of 10168441920 is 2914486101.

It is a super-2 number, since 2×10168441920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21228241 + ... + 21228719.

Almost surely, 2^10168441920 is an apocalyptic number.

10168441920 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 10168441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387438080).

10168441920 is an abundant number, since it is smaller than the sum of its proper divisors (34606434240).

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

10168441920 is an equidigital number, since it uses as much as digits as its factorization.

10168441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10168441920 in words is "ten billion, one hundred sixty-eight million, four hundred forty-one thousand, nine hundred twenty".