4101720862160 has 80 divisors (see below), whose sum is σ = 9568860210000. Its totient is φ = 1635126140928.

The previous prime is 4101720862121. The next prime is 4101720862171. The reversal of 4101720862160 is 612680271014.

It can be written as a sum of positive squares in 8 ways, for example, as 765604000144 + 3336116862016 = 874988^2 + 1826504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4101720862160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54378392 + ... + 54453768.

It is an arithmetic number, because the mean of its divisors is an integer number (119610752625).

Almost surely, 2^{4101720862160} is an apocalyptic number.

4101720862160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101720862160 is an abundant number, since it is smaller than the sum of its proper divisors (5467139347840).

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

4101720862160 is a wasteful number, since it uses less digits than its factorization.

4101720862160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77688 (or 77682 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 4101720862160 in words is "four trillion, one hundred one billion, seven hundred twenty million, eight hundred sixty-two thousand, one hundred sixty".