816263989440 has 112 divisors (see below), whose sum is σ = 2607157469952. Its totient is φ = 216366939136.

The previous prime is 816263989369. The next prime is 816263989441. The reversal of 816263989440 is 44989362618.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (816263989441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385414 + ... + 2706053.

It is an arithmetic number, because the mean of its divisors is an integer number (23278191696).

Almost surely, 2^816263989440 is an apocalyptic number.

816263989440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816263989440 is an abundant number, since it is smaller than the sum of its proper divisors (1790893480512).

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

816263989440 is a wasteful number, since it uses less digits than its factorization.

816263989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091654 (or 5091644 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 816263989440 in words is "eight hundred sixteen billion, two hundred sixty-three million, nine hundred eighty-nine thousand, four hundred forty".