4065862971520 has 256 divisors, whose sum is σ = 11298101253120. Its totient is φ = 1370419015680.

The previous prime is 4065862971497. The next prime is 4065862971559. The reversal of 4065862971520 is 251792685604.

It is a super-2 number, since 2×4065862971520² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62763787 + ... + 62828533.

It is an arithmetic number, because the mean of its divisors is an integer number (44133208020).

Almost surely, 2^{4065862971520} is an apocalyptic number.

4065862971520 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 4065862971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649050626560).

4065862971520 is an abundant number, since it is smaller than the sum of its proper divisors (7232238281600).

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

4065862971520 is a wasteful number, since it uses less digits than its factorization.

4065862971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65011 (or 64999 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 4065862971520 in words is "four trillion, sixty-five billion, eight hundred sixty-two million, nine hundred seventy-one thousand, five hundred twenty".