107412748323840 has 528 divisors, whose sum is σ = 406281045381120. Its totient is φ = 27135846236160.

The previous prime is 107412748323827. The next prime is 107412748323913. The reversal of 107412748323840 is 48323847214701.

It is a happy number.

107412748323840 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 1 + 274 + 8 + 323 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21367105 + ... + 25910975.

Almost surely, 2^{107412748323840} is an apocalyptic number.

107412748323840 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 107412748323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203140522690560).

107412748323840 is an abundant number, since it is smaller than the sum of its proper divisors (298868297057280).

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

107412748323840 is an equidigital number, since it uses as much as digits as its factorization.

107412748323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543930 (or 4543900 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 107412748323840 in words is "one hundred seven trillion, four hundred twelve billion, seven hundred forty-eight million, three hundred twenty-three thousand, eight hundred forty".