10450340820 has 192 divisors, whose sum is σ = 33885734400. Its totient is φ = 2670474240.

The previous prime is 10450340809. The next prime is 10450340837. The reversal of 10450340820 is 2804305401.

It is a super-3 number, since 3×10450340820³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142985 + ... + 2147855.

It is an arithmetic number, because the mean of its divisors is an integer number (176488200).

Almost surely, 2^10450340820 is an apocalyptic number.

10450340820 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 10450340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942867200).

10450340820 is an abundant number, since it is smaller than the sum of its proper divisors (23435393580).

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

10450340820 is a wasteful number, since it uses less digits than its factorization.

10450340820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10450340820 in words is "ten billion, four hundred fifty million, three hundred forty thousand, eight hundred twenty".