4016464908544 has 243 divisors, whose sum is σ = 9010919414469. Its totient is φ = 1785423298560.

The previous prime is 4016464908503. The next prime is 4016464908551. The reversal of 4016464908544 is 4458094646104.

The square root of 4016464908544 is 2004112.

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

4016464908544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 973142790400 + 3043322118144 = 986480^2 + 1744512^2 .

It is a super-2 number, since 2×4016464908544² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20810698912 + ... + 20810699104.

Almost surely, 2^{4016464908544} is an apocalyptic number.

4016464908544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4016464908544 is the 2004112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016464908544

4016464908544 is an abundant number, since it is smaller than the sum of its proper divisors (4994454505925).

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

4016464908544 is an frugal number, since it uses more digits than its factorization.

4016464908544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 4016464908544 in words is "four trillion, sixteen billion, four hundred sixty-four million, nine hundred eight thousand, five hundred forty-four".