4164097334544 has 405 divisors, whose sum is σ = 14410755708687. Its totient is φ = 1118973671424.

The previous prime is 4164097334513. The next prime is 4164097334557. The reversal of 4164097334544 is 4454337904614.

The square root of 4164097334544 is 2040612.

It is a perfect power (a square), and thus also a powerful number.

4164097334544 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 0 + 97 + 3 + 3 + 4 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211508010000 + 3952589324544 = 459900^2 + 1988112^2 .

It is a super-2 number, since 2×4164097334544² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2913993222 + ... + 2913994650.

Almost surely, 2^{4164097334544} is an apocalyptic number.

4164097334544 is the 2040612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164097334544

4164097334544 is an abundant number, since it is smaller than the sum of its proper divisors (10246658374143).

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

4164097334544 is a wasteful number, since it uses less digits than its factorization.

4164097334544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

It can be divided in two parts, 4164097 and 334544, that added together give a square (4498641 = 2121²).

The spelling of 4164097334544 in words is "four trillion, one hundred sixty-four billion, ninety-seven million, three hundred thirty-four thousand, five hundred forty-four".