107144041334400 has 768 divisors, whose sum is σ = 453666933100800. Its totient is φ = 24490055393280.

The previous prime is 107144041334357. The next prime is 107144041334423. The reversal of 107144041334400 is 4433140441701.

107144041334400 is a `hidden beast` number, since 1 + 0 + 7 + 144 + 0 + 41 + 33 + 440 + 0 = 666.

It is a super-2 number, since 2×107144041334400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 47895244 + ... + 50082356.

It is an arithmetic number, because the mean of its divisors is an integer number (590712152475).

Almost surely, 2^{107144041334400} is an apocalyptic number.

107144041334400 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 107144041334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226833466550400).

107144041334400 is an abundant number, since it is smaller than the sum of its proper divisors (346522891766400).

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

107144041334400 is an frugal number, since it uses more digits than its factorization.

107144041334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187165 (or 2187130 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 107144041334400 in words is "one hundred seven trillion, one hundred forty-four billion, forty-one million, three hundred thirty-four thousand, four hundred".