4164542525952 has 320 divisors, whose sum is σ = 12778991913600. Its totient is φ = 1337519554560.

The previous prime is 4164542525951. The next prime is 4164542525953. The reversal of 4164542525952 is 2595252454614.

4164542525952 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 5 + 42 + 5 + 2 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4164542525951) and next prime (4164542525953).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4164542525951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196829358 + ... + 196850514.

It is an arithmetic number, because the mean of its divisors is an integer number (39934349730).

Almost surely, 2^{4164542525952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164542525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389495956800).

4164542525952 is an abundant number, since it is smaller than the sum of its proper divisors (8614449387648).

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

4164542525952 is a wasteful number, since it uses less digits than its factorization.

4164542525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21704 (or 21682 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 4164542525952 in words is "four trillion, one hundred sixty-four billion, five hundred forty-two million, five hundred twenty-five thousand, nine hundred fifty-two".