816381124380 has 192 divisors, whose sum is σ = 2641803816960. Its totient is φ = 209070201600.

The previous prime is 816381124327. The next prime is 816381124387. The reversal of 816381124380 is 83421183618.

816381124380 is a `hidden beast` number, since 8 + 1 + 638 + 1 + 1 + 2 + 4 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816381124387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006802 + ... + 2379078.

It is an arithmetic number, because the mean of its divisors is an integer number (13759394880).

Almost surely, 2^816381124380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816381124380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320901908480).

816381124380 is an abundant number, since it is smaller than the sum of its proper divisors (1825422692580).

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

816381124380 is a wasteful number, since it uses less digits than its factorization.

816381124380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372457 (or 372449 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 816381124380 in words is "eight hundred sixteen billion, three hundred eighty-one million, one hundred twenty-four thousand, three hundred eighty".