107944488000 has 784 divisors, whose sum is σ = 407451373056. Its totient is φ = 28310860800.

The previous prime is 107944487993. The next prime is 107944488019. The reversal of 107944488000 is 884449701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 484055889 + ... + 484056111.

It is an arithmetic number, because the mean of its divisors is an integer number (519708384).

Almost surely, 2^107944488000 is an apocalyptic number.

107944488000 is a gapful number since it is divisible by the number (10) 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 107944488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203725686528).

107944488000 is an abundant number, since it is smaller than the sum of its proper divisors (299506885056).

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

107944488000 is an frugal number, since it uses more digits than its factorization.

107944488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 107944488000 in words is "one hundred seven billion, nine hundred forty-four million, four hundred eighty-eight thousand".