107916549042040 has 128 divisors (see below), whose sum is σ = 252406300608000. Its totient is φ = 41498690508288.

The previous prime is 107916549042031. The next prime is 107916549042041. The reversal of 107916549042040 is 40240945619701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107916549042041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36994381 + ... + 39804739.

It is an arithmetic number, because the mean of its divisors is an integer number (1971924223500).

Almost surely, 2^{107916549042040} is an apocalyptic number.

107916549042040 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 107916549042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126203150304000).

107916549042040 is an abundant number, since it is smaller than the sum of its proper divisors (144489751565960).

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

107916549042040 is a wasteful number, since it uses less digits than its factorization.

107916549042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810789 (or 2810785 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 107916549042040 in words is "one hundred seven trillion, nine hundred sixteen billion, five hundred forty-nine million, forty-two thousand, forty".