107844320557440 has 512 divisors, whose sum is σ = 394335433728000. Its totient is φ = 27826142699520.

The previous prime is 107844320557427. The next prime is 107844320557483. The reversal of 107844320557440 is 44755023448701.

107844320557440 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 4 + 4 + 3 + 20 + 5 + 574 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4172398597 + ... + 4172424443.

It is an arithmetic number, because the mean of its divisors is an integer number (770186394000).

Almost surely, 2^{107844320557440} is an apocalyptic number.

107844320557440 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 107844320557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197167716864000).

107844320557440 is an abundant number, since it is smaller than the sum of its proper divisors (286491113170560).

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

107844320557440 is a wasteful number, since it uses less digits than its factorization.

107844320557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33695 (or 33677 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 107844320557440 in words is "one hundred seven trillion, eight hundred forty-four billion, three hundred twenty million, five hundred fifty-seven thousand, four hundred forty".