811133498478240 has 768 divisors, whose sum is σ = 3407165483581440. Its totient is φ = 176211404328960.

The previous prime is 811133498478227. The next prime is 811133498478269. The reversal of 811133498478240 is 42874894331118.

811133498478240 is a `hidden beast` number, since 8 + 1 + 1 + 1 + 3 + 34 + 98 + 478 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105482545 + ... + 112910735.

It is an arithmetic number, because the mean of its divisors is an integer number (4436413390080).

Almost surely, 2^{811133498478240} is an apocalyptic number.

811133498478240 is a gapful number since it is divisible by the number (80) 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 811133498478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703582741790720).

811133498478240 is an abundant number, since it is smaller than the sum of its proper divisors (2596031985103200).

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

811133498478240 is a wasteful number, since it uses less digits than its factorization.

811133498478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428402 (or 7428388 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 811133498478240 in words is "eight hundred eleven trillion, one hundred thirty-three billion, four hundred ninety-eight million, four hundred seventy-eight thousand, two hundred forty".