10440204012 has 216 divisors, whose sum is σ = 31855483296. Its totient is φ = 2872267776.

The previous prime is 10440203987. The next prime is 10440204059. The reversal of 10440204012 is 21040204401.

10440204012 is a `hidden beast` number, since 10 + 440 + 204 + 0 + 12 = 666.

It is a super-2 number, since 2×10440204012² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 6721828 + ... + 6723380.

Almost surely, 2^10440204012 is an apocalyptic number.

10440204012 is a gapful number since it is divisible by the number (12) 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 10440204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927741648).

10440204012 is an abundant number, since it is smaller than the sum of its proper divisors (21415279284).

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

10440204012 is a wasteful number, since it uses less digits than its factorization.

10440204012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10440204012 its reverse (21040204401), we get a palindrome (31480408413).

The spelling of 10440204012 in words is "ten billion, four hundred forty million, two hundred four thousand, twelve".