10212331440 has 160 divisors (see below), whose sum is σ = 33512497920. Its totient is φ = 2568158208.

The previous prime is 10212331439. The next prime is 10212331471. The reversal of 10212331440 is 4413321201.

10212331440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282219 + ... + 316341.

It is an arithmetic number, because the mean of its divisors is an integer number (209453112).

Almost surely, 2^10212331440 is an apocalyptic number.

10212331440 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 10212331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756248960).

10212331440 is an abundant number, since it is smaller than the sum of its proper divisors (23300166480).

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

10212331440 is a wasteful number, since it uses less digits than its factorization.

10212331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34211 (or 34205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10212331440 its reverse (4413321201), we get a palindrome (14625652641).

The spelling of 10212331440 in words is "ten billion, two hundred twelve million, three hundred thirty-one thousand, four hundred forty".