107075991385440 has 3456 divisors, whose sum is σ = 500211274106880. Its totient is φ = 20924432179200.

The previous prime is 107075991385427. The next prime is 107075991385457. The reversal of 107075991385440 is 44583199570701.

107075991385440 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 59 + 9 + 1 + 38 + 544 + 0 = 666.

It is a super-2 number, since 2×107075991385440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130104484869 + ... + 130104485691.

It is an arithmetic number, because the mean of its divisors is an integer number (144737058480).

Almost surely, 2^{107075991385440} is an apocalyptic number.

107075991385440 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 107075991385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250105637053440).

107075991385440 is an abundant number, since it is smaller than the sum of its proper divisors (393135282721440).

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

107075991385440 is a wasteful number, since it uses less digits than its factorization.

107075991385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 107075991385440 in words is "one hundred seven trillion, seventy-five billion, nine hundred ninety-one million, three hundred eighty-five thousand, four hundred forty".