4381020000000 has 2304 divisors, whose sum is σ = 19801199308800. Its totient is φ = 933120000000.

The previous prime is 4381019999977. The next prime is 4381020000013. The reversal of 4381020000000 is 201834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71819999970 + ... + 71820000030.

Almost surely, 2^{4381020000000} is an apocalyptic number.

4381020000000 is a gapful number since it is divisible by the number (40) 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 4381020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9900599654400).

4381020000000 is an abundant number, since it is smaller than the sum of its proper divisors (15420179308800).

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

4381020000000 is an frugal number, since it uses more digits than its factorization.

4381020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4381020000000 its reverse (201834), we get a palindrome (4381020201834).

The spelling of 4381020000000 in words is "four trillion, three hundred eighty-one billion, twenty million", and thus it is an aban number.