8233820776440 has 192 divisors, whose sum is σ = 31637341195200. Its totient is φ = 1817119051776.

The previous prime is 8233820776439. The next prime is 8233820776501. The reversal of 8233820776440 is 446770283328.

It is a happy number.

8233820776440 is a `hidden beast` number, since 8 + 2 + 338 + 207 + 7 + 64 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56261217 + ... + 56407376.

It is an arithmetic number, because the mean of its divisors is an integer number (164777818725).

Almost surely, 2^{8233820776440} is an apocalyptic number.

It is an amenable number.

8233820776440 is an abundant number, since it is smaller than the sum of its proper divisors (23403520418760).

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

8233820776440 is a wasteful number, since it uses less digits than its factorization.

8233820776440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112668646 (or 112668639 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 8233820776440 in words is "eight trillion, two hundred thirty-three billion, eight hundred twenty million, seven hundred seventy-six thousand, four hundred forty".