10332201440 has 96 divisors (see below), whose sum is σ = 26966338560. Its totient is φ = 3709555200.

The previous prime is 10332201421. The next prime is 10332201479. The reversal of 10332201440 is 4410223301.

10332201440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 101885 + ... + 176195.

It is an arithmetic number, because the mean of its divisors is an integer number (280899360).

Almost surely, 2^10332201440 is an apocalyptic number.

10332201440 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 10332201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483169280).

10332201440 is an abundant number, since it is smaller than the sum of its proper divisors (16634137120).

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

10332201440 is a wasteful number, since it uses less digits than its factorization.

10332201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74416 (or 74408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10332201440 its reverse (4410223301), we get a palindrome (14742424741).

The spelling of 10332201440 in words is "ten billion, three hundred thirty-two million, two hundred one thousand, four hundred forty".