4065938172560 has 320 divisors, whose sum is σ = 11227935294720. Its totient is φ = 1352313077760.

The previous prime is 4065938172557. The next prime is 4065938172661. The reversal of 4065938172560 is 652718395604.

4065938172560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4065938172496 and 4065938172505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514216127 + ... + 514224033.

It is an arithmetic number, because the mean of its divisors is an integer number (35087297796).

It is a 1-persistent number, because it is pandigital, but 2⋅4065938172560 = 8131876345120 is not.

Almost surely, 2^{4065938172560} is an apocalyptic number.

4065938172560 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 4065938172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613967647360).

4065938172560 is an abundant number, since it is smaller than the sum of its proper divisors (7161997122160).

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

4065938172560 is a wasteful number, since it uses less digits than its factorization.

4065938172560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 4065938172560 in words is "four trillion, sixty-five billion, nine hundred thirty-eight million, one hundred seventy-two thousand, five hundred sixty".