10012021440 has 224 divisors, whose sum is σ = 33269529600. Its totient is φ = 2546159616.

The previous prime is 10012021433. The next prime is 10012021441. The reversal of 10012021440 is 4412021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10012021441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13225542 + ... + 13226298.

Almost surely, 2^10012021440 is an apocalyptic number.

10012021440 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 10012021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634764800).

10012021440 is an abundant number, since it is smaller than the sum of its proper divisors (23257508160).

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

10012021440 is a wasteful number, since it uses less digits than its factorization.

10012021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10012021440 its reverse (4412021001), we get a palindrome (14424042441).

The spelling of 10012021440 in words is "ten billion, twelve million, twenty-one thousand, four hundred forty".