4381988106240 has 1248 divisors, whose sum is σ = 16669819944960. Its totient is φ = 1060621516800.

The previous prime is 4381988106193. The next prime is 4381988106277. The reversal of 4381988106240 is 426018891834.

It is a happy number.

4381988106240 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 9 + 8 + 8 + 1 + 0 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19650170769 + ... + 19650170991.

It is an arithmetic number, because the mean of its divisors is an integer number (13357227520).

Almost surely, 2^{4381988106240} is an apocalyptic number.

4381988106240 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 4381988106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334909972480).

4381988106240 is an abundant number, since it is smaller than the sum of its proper divisors (12287831838720).

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

4381988106240 is a wasteful number, since it uses less digits than its factorization.

4381988106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4381988106240 in words is "four trillion, three hundred eighty-one billion, nine hundred eighty-eight million, one hundred six thousand, two hundred forty".