10491246875040 has 768 divisors, whose sum is σ = 38515072942080. Its totient is φ = 2381054607360.

The previous prime is 10491246874993. The next prime is 10491246875047. The reversal of 10491246875040 is 4057864219401.

It is a super-2 number, since 2×10491246875040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10491246875047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1857841497 + ... + 1857847143.

It is an arithmetic number, because the mean of its divisors is an integer number (50149834560).

Almost surely, 2^{10491246875040} is an apocalyptic number.

10491246875040 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 10491246875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257536471040).

10491246875040 is an abundant number, since it is smaller than the sum of its proper divisors (28023826067040).

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

10491246875040 is a wasteful number, since it uses less digits than its factorization.

10491246875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 10491246875040 in words is "ten trillion, four hundred ninety-one billion, two hundred forty-six million, eight hundred seventy-five thousand, forty".