10645440000 has 400 divisors, whose sum is σ = 38209606512. Its totient is φ = 2617344000.

The previous prime is 10645439999. The next prime is 10645440007. The reversal of 10645440000 is 4454601.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10645440000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479574 + ... + 12480426.

Almost surely, 2^10645440000 is an apocalyptic number.

10645440000 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 10645440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104803256).

10645440000 is an abundant number, since it is smaller than the sum of its proper divisors (27564166512).

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

10645440000 is an frugal number, since it uses more digits than its factorization.

10645440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10645440000 its reverse (4454601), we get a palindrome (10649894601).

The spelling of 10645440000 in words is "ten billion, six hundred forty-five million, four hundred forty thousand".