10332241920 has 1152 divisors, whose sum is σ = 48949926480. Its totient is φ = 1981808640.

The previous prime is 10332241903. The next prime is 10332241951. The reversal of 10332241920 is 2914223301.

It is a happy number.

10332241920 is a `hidden beast` number, since 1 + 0 + 332 + 241 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 794787834 + ... + 794787846.

Almost surely, 2^10332241920 is an apocalyptic number.

10332241920 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 10332241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474963240).

10332241920 is an abundant number, since it is smaller than the sum of its proper divisors (38617684560).

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

10332241920 is a wasteful number, since it uses less digits than its factorization.

10332241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

It can be divided in two parts, 10332 and 241920, that added together give a palindrome (252252).

The spelling of 10332241920 in words is "ten billion, three hundred thirty-two million, two hundred forty-one thousand, nine hundred twenty".