10034241120 has 240 divisors, whose sum is σ = 35555623488. Its totient is φ = 2664990720.

The previous prime is 10034241089. The next prime is 10034241121. The reversal of 10034241120 is 2114243001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10034241093 and 10034241102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034241121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3510732 + ... + 3513588.

Almost surely, 2^10034241120 is an apocalyptic number.

10034241120 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 10034241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777811744).

10034241120 is an abundant number, since it is smaller than the sum of its proper divisors (25521382368).

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

10034241120 is a wasteful number, since it uses less digits than its factorization.

10034241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10034241120 its reverse (2114243001), we get a palindrome (12148484121).

The spelling of 10034241120 in words is "ten billion, thirty-four million, two hundred forty-one thousand, one hundred twenty".