4381689131820 has 1152 divisors, whose sum is σ = 18755660851200. Its totient is φ = 834769152000.

The previous prime is 4381689131819. The next prime is 4381689131863. The reversal of 4381689131820 is 281319861834.

4381689131820 is a `hidden beast` number, since 4 + 381 + 6 + 89 + 1 + 3 + 182 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 571346946 + ... + 571354614.

It is an arithmetic number, because the mean of its divisors is an integer number (16280955600).

Almost surely, 2^{4381689131820} 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 4381689131820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377830425600).

4381689131820 is an abundant number, since it is smaller than the sum of its proper divisors (14373971719380).

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

4381689131820 is a wasteful number, since it uses less digits than its factorization.

4381689131820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4381689131820 in words is "four trillion, three hundred eighty-one billion, six hundred eighty-nine million, one hundred thirty-one thousand, eight hundred twenty".