107341384550400 has 8064 divisors, whose sum is σ = 570632439686400. Its totient is φ = 19377841766400.

The previous prime is 107341384550303. The next prime is 107341384550437. The reversal of 107341384550400 is 4055483143701.

107341384550400 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 13 + 84 + 550 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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 671 ways as a sum of consecutive naturals, for example, 6314199091192 + ... + 6314199091208.

It is an arithmetic number, because the mean of its divisors is an integer number (70762951350).

Almost surely, 2^{107341384550400} is an apocalyptic number.

107341384550400 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 107341384550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285316219843200).

107341384550400 is an abundant number, since it is smaller than the sum of its proper divisors (463291055136000).

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

107341384550400 is an equidigital number, since it uses as much as digits as its factorization.

107341384550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 107341384550400 in words is "one hundred seven trillion, three hundred forty-one billion, three hundred eighty-four million, five hundred fifty thousand, four hundred".