4381996500000 has 2016 divisors, whose sum is σ = 19348627334400. Its totient is φ = 937036800000.

The previous prime is 4381996499999. The next prime is 4381996500029. The reversal of 4381996500000 is 56991834.

It is a happy number.

4381996500000 is a `hidden beast` number, since 43 + 8 + 19 + 96 + 500 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 335 ways as a sum of consecutive naturals, for example, 26239499917 + ... + 26239500083.

It is an arithmetic number, because the mean of its divisors is an integer number (9597533400).

Almost surely, 2^{4381996500000} is an apocalyptic number.

4381996500000 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 4381996500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674313667200).

4381996500000 is an abundant number, since it is smaller than the sum of its proper divisors (14966630834400).

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

4381996500000 is an equidigital number, since it uses as much as digits as its factorization.

4381996500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 4381996500000 in words is "four trillion, three hundred eighty-one billion, nine hundred ninety-six million, five hundred thousand".