816396527040 has 448 divisors, whose sum is σ = 2837576613888. Its totient is φ = 197974425600.

The previous prime is 816396527029. The next prime is 816396527081. The reversal of 816396527040 is 40725693618.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554993505 + ... + 554994975.

It is a 2-persistent number, because it is pandigital, and so is 2⋅816396527040 = 1632793054080, but 3⋅816396527040 = 2449189581120 is not.

Almost surely, 2^816396527040 is an apocalyptic number.

816396527040 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 816396527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418788306944).

816396527040 is an abundant number, since it is smaller than the sum of its proper divisors (2021180086848).

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

816396527040 is a wasteful number, since it uses less digits than its factorization.

816396527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 816396527040 in words is "eight hundred sixteen billion, three hundred ninety-six million, five hundred twenty-seven thousand, forty".