10266814484640 has 384 divisors, whose sum is σ = 41169718679040. Its totient is φ = 2340845568000.

The previous prime is 10266814484627. The next prime is 10266814484657. The reversal of 10266814484640 is 4648441866201.

10266814484640 is a `hidden beast` number, since 1 + 0 + 2 + 66 + 81 + 4 + 48 + 464 + 0 = 666.

It is a super-4 number, since 4×10266814484640⁴ (a number of 53 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11702910 + ... + 12549570.

It is an arithmetic number, because the mean of its divisors is an integer number (107212809060).

Almost surely, 2^{10266814484640} is an apocalyptic number.

10266814484640 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 10266814484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584859339520).

10266814484640 is an abundant number, since it is smaller than the sum of its proper divisors (30902904194400).

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

10266814484640 is a wasteful number, since it uses less digits than its factorization.

10266814484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847093 (or 847079 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 10266814484640 in words is "ten trillion, two hundred sixty-six billion, eight hundred fourteen million, four hundred eighty-four thousand, six hundred forty".