812216549040 has 320 divisors, whose sum is σ = 2801172713472. Its totient is φ = 193332326400.

The previous prime is 812216549029. The next prime is 812216549059. The reversal of 812216549040 is 40945612218.

It is a junction number, because it is equal to n+sod(n) for n = 812216548983 and 812216549001.

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 63 ways as a sum of consecutive naturals, for example, 175157602 + ... + 175162238.

Almost surely, 2^812216549040 is an apocalyptic number.

812216549040 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 812216549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400586356736).

812216549040 is an abundant number, since it is smaller than the sum of its proper divisors (1988956164432).

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

812216549040 is a wasteful number, since it uses less digits than its factorization.

812216549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

It can be divided in two parts, 81221 and 6549040, that added together give a triangular number (6630261 = T₃₆₄₁).

The spelling of 812216549040 in words is "eight hundred twelve billion, two hundred sixteen million, five hundred forty-nine thousand, forty".