5442958080 has 576 divisors, whose sum is σ = 22369536000. Its totient is φ = 1227571200.

The previous prime is 5442958057. The next prime is 5442958091. The reversal of 5442958080 is 808592445.

5442958080 is a `hidden beast` number, since 5 + 44 + 29 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36046005 + ... + 36046155.

It is an arithmetic number, because the mean of its divisors is an integer number (38836000).

Almost surely, 2^5442958080 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 5442958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768000).

5442958080 is an abundant number, since it is smaller than the sum of its proper divisors (16926577920).

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

5442958080 is a wasteful number, since it uses less digits than its factorization.

5442958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5442958080 is about 73776.4059845693. The cubic root of 5442958080 is about 1759.0505898730.

The spelling of 5442958080 in words is "five billion, four hundred forty-two million, nine hundred fifty-eight thousand, eighty".