107394940800 has 1536 divisors, whose sum is σ = 474269644800. Its totient is φ = 23224320000.

The previous prime is 107394940781. The next prime is 107394940823. The reversal of 107394940800 is 8049493701.

107394940800 is a `hidden beast` number, since 10 + 73 + 9 + 494 + 0 + 80 + 0 = 666.

107394940800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1512604765 + ... + 1512604835.

It is an arithmetic number, because the mean of its divisors is an integer number (308769300).

Almost surely, 2^107394940800 is an apocalyptic number.

107394940800 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 107394940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237134822400).

107394940800 is an abundant number, since it is smaller than the sum of its proper divisors (366874704000).

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

107394940800 is a wasteful number, since it uses less digits than its factorization.

107394940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107394940800 in words is "one hundred seven billion, three hundred ninety-four million, nine hundred forty thousand, eight hundred".