4103170751680 has 672 divisors, whose sum is σ = 13283104020480. Its totient is φ = 1174724812800.

The previous prime is 4103170751677. The next prime is 4103170751683. The reversal of 4103170751680 is 861570713014.

It is an interprime number because it is at equal distance from previous prime (4103170751677) and next prime (4103170751683).

It is not an unprimeable number, because it can be changed into a prime (4103170751683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 743459961 + ... + 743465479.

It is an arithmetic number, because the mean of its divisors is an integer number (19766523840).

Almost surely, 2^{4103170751680} is an apocalyptic number.

4103170751680 is a gapful number since it is divisible by the number (40) 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 4103170751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641552010240).

4103170751680 is an abundant number, since it is smaller than the sum of its proper divisors (9179933268800).

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

4103170751680 is a wasteful number, since it uses less digits than its factorization.

4103170751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 4103170751680 in words is "four trillion, one hundred three billion, one hundred seventy million, seven hundred fifty-one thousand, six hundred eighty".