10212011440 has 40 divisors (see below), whose sum is σ = 23755176000. Its totient is φ = 4082697216.

The previous prime is 10212011417. The next prime is 10212011443. The reversal of 10212011440 is 4411021201.

It is a happy number.

10212011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10212011443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 127992 + ... + 191848.

It is an arithmetic number, because the mean of its divisors is an integer number (593879400).

Almost surely, 2^10212011440 is an apocalyptic number.

10212011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212011440 is an abundant number, since it is smaller than the sum of its proper divisors (13543164560).

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

10212011440 is a wasteful number, since it uses less digits than its factorization.

10212011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65869 (or 65863 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212011440 its reverse (4411021201), we get a palindrome (14623032641).

The spelling of 10212011440 in words is "ten billion, two hundred twelve million, eleven thousand, four hundred forty".