10671330240 has 672 divisors, whose sum is σ = 41272358400. Its totient is φ = 2518179840.

The previous prime is 10671330239. The next prime is 10671330251. The reversal of 10671330240 is 4203317601.

It is a super-2 number, since 2×10671330240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76772091 + ... + 76772229.

It is an arithmetic number, because the mean of its divisors is an integer number (61417200).

Almost surely, 2^10671330240 is an apocalyptic number.

10671330240 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 10671330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636179200).

10671330240 is an abundant number, since it is smaller than the sum of its proper divisors (30601028160).

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

10671330240 is a wasteful number, since it uses less digits than its factorization.

10671330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10671330240 its reverse (4203317601), we get a palindrome (14874647841).

The spelling of 10671330240 in words is "ten billion, six hundred seventy-one million, three hundred thirty thousand, two hundred forty".