10450944000 has 840 divisors, whose sum is σ = 44696285088. Its totient is φ = 2388787200.

The previous prime is 10450943989. The next prime is 10450944029. The reversal of 10450944000 is 44905401.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ (2!)².

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10450944000² (a number of 21 digits) contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 1492991997 + ... + 1492992003.

Almost surely, 2^10450944000 is an apocalyptic number.

10450944000 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 10450944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348142544).

10450944000 is an abundant number, since it is smaller than the sum of its proper divisors (34245341088).

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

10450944000 is an frugal number, since it uses more digits than its factorization.

10450944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10450944000 in words is "ten billion, four hundred fifty million, nine hundred forty-four thousand".