10012434440 has 128 divisors (see below), whose sum is σ = 24164697600. Its totient is φ = 3726750720.

The previous prime is 10012434437. The next prime is 10012434449. The reversal of 10012434440 is 4443421001.

It is a happy number.

It is a super-2 number, since 2×10012434440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012434449) 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 31 ways as a sum of consecutive naturals, for example, 3651470 + ... + 3654210.

It is an arithmetic number, because the mean of its divisors is an integer number (188786700).

Almost surely, 2^10012434440 is an apocalyptic number.

10012434440 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 10012434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082348800).

10012434440 is an abundant number, since it is smaller than the sum of its proper divisors (14152263160).

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

10012434440 is a wasteful number, since it uses less digits than its factorization.

10012434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10012434440 its reverse (4443421001), we get a palindrome (14455855441).

The spelling of 10012434440 in words is "ten billion, twelve million, four hundred thirty-four thousand, four hundred forty".