4072943175680 has 192 divisors, whose sum is σ = 10056949943040. Its totient is φ = 1582317568000.

The previous prime is 4072943175673. The next prime is 4072943175689. The reversal of 4072943175680 is 865713492704.

It is a super-2 number, since 2×4072943175680² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4072943175689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63015380 + ... + 63079980.

It is an arithmetic number, because the mean of its divisors is an integer number (52379947620).

It is a 1-persistent number, because it is pandigital, but 2⋅4072943175680 = 8145886351360 is not.

Almost surely, 2^{4072943175680} is an apocalyptic number.

4072943175680 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 4072943175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028474971520).

4072943175680 is an abundant number, since it is smaller than the sum of its proper divisors (5984006767360).

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

4072943175680 is a wasteful number, since it uses less digits than its factorization.

4072943175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64806 (or 64786 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 4072943175680 in words is "four trillion, seventy-two billion, nine hundred forty-three million, one hundred seventy-five thousand, six hundred eighty".