10741246497072 has 640 divisors, whose sum is σ = 39663381381120. Its totient is φ = 2705086264320.

The previous prime is 10741246497013. The next prime is 10741246497083. The reversal of 10741246497072 is 27079464214701.

10741246497072 is a `hidden beast` number, since 1 + 0 + 7 + 41 + 2 + 46 + 497 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 548825047 + ... + 548844617.

It is an arithmetic number, because the mean of its divisors is an integer number (61974033408).

Almost surely, 2^{10741246497072} is an apocalyptic number.

10741246497072 is a gapful number since it is divisible by the number (12) 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 10741246497072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831690690560).

10741246497072 is an abundant number, since it is smaller than the sum of its proper divisors (28922134884048).

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

10741246497072 is a wasteful number, since it uses less digits than its factorization.

10741246497072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20238 (or 20226 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 10741246497072 in words is "ten trillion, seven hundred forty-one billion, two hundred forty-six million, four hundred ninety-seven thousand, seventy-two".