4542912000 has 640 divisors, whose sum is σ = 18384537600. Its totient is φ = 1096704000.

The previous prime is 4542911981. The next prime is 4542912029. The reversal of 4542912000 is 2192454.

4542912000 is a `hidden beast` number, since 454 + 2 + 9 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007881 + ... + 19008119.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^4542912000 is an apocalyptic number.

4542912000 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 4542912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4542912000 is an abundant number, since it is smaller than the sum of its proper divisors (13841625600).

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

4542912000 is a wasteful number, since it uses less digits than its factorization.

4542912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4542912000 is about 67401.1275870070. The cubic root of 4542912000 is about 1656.1948940963.

The spelling of 4542912000 in words is "four billion, five hundred forty-two million, nine hundred twelve thousand".