4100422716720 has 480 divisors, whose sum is σ = 15248024064000. Its totient is φ = 979216128000.

The previous prime is 4100422716701. The next prime is 4100422716721. The reversal of 4100422716720 is 276172240014.

4100422716720 is a `hidden beast` number, since 4 + 100 + 422 + 71 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4100422716721) 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, 159171201 + ... + 159196959.

It is an arithmetic number, because the mean of its divisors is an integer number (31766716800).

Almost surely, 2^{4100422716720} is an apocalyptic number.

4100422716720 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 4100422716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624012032000).

4100422716720 is an abundant number, since it is smaller than the sum of its proper divisors (11147601347280).

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

4100422716720 is a wasteful number, since it uses less digits than its factorization.

4100422716720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26089 (or 26080 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 4100422716720 its reverse (276172240014), we get a palindrome (4376594956734).

The spelling of 4100422716720 in words is "four trillion, one hundred billion, four hundred twenty-two million, seven hundred sixteen thousand, seven hundred twenty".