10440212000 has 96 divisors (see below), whose sum is σ = 25783758000. Its totient is φ = 4154572800.

The previous prime is 10440211973. The next prime is 10440212011. The reversal of 10440212000 is 21204401.

It can be written as a sum of positive squares in 8 ways, for example, as 1406850064 + 9033361936 = 37508^2 + 95044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781376 + ... + 794624.

Almost surely, 2^10440212000 is an apocalyptic number.

10440212000 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 10440212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891879000).

10440212000 is an abundant number, since it is smaller than the sum of its proper divisors (15343546000).

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

10440212000 is a wasteful number, since it uses less digits than its factorization.

10440212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13471 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10440212000 its reverse (21204401), we get a palindrome (10461416401).

The spelling of 10440212000 in words is "ten billion, four hundred forty million, two hundred twelve thousand".