10682241024 has 416 divisors, whose sum is σ = 36064514304. Its totient is φ = 2736783360.

The previous prime is 10682240993. The next prime is 10682241061. The reversal of 10682241024 is 42014228601.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-3 number, since 3×10682241024³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10682240982 and 10682241000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45846412 + ... + 45846644.

It is an arithmetic number, because the mean of its divisors is an integer number (86693544).

Almost surely, 2^10682241024 is an apocalyptic number.

10682241024 is a gapful number since it is divisible by the number (14) 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 10682241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032257152).

10682241024 is an abundant number, since it is smaller than the sum of its proper divisors (25382273280).

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

10682241024 is a wasteful number, since it uses less digits than its factorization.

10682241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10682241024 its reverse (42014228601), we get a palindrome (52696469625).

The spelling of 10682241024 in words is "ten billion, six hundred eighty-two million, two hundred forty-one thousand, twenty-four".