4572288000000 has 2058 divisors, whose sum is σ = 19934848014273. Its totient is φ = 1045094400000.

The previous prime is 4572287999921. The next prime is 4572288000013. The reversal of 4572288000000 is 8822754.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4572288000000 is a `hidden beast` number, since 4 + 572 + 2 + 8 + 80 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779703128064 + 3792584871936 = 883008^2 + 1947456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1512000.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 653183999997 + ... + 653184000003.

Almost surely, 2^{4572288000000} is an apocalyptic number.

4572288000000 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 4572288000000

4572288000000 is an abundant number, since it is smaller than the sum of its proper divisors (15362560014273).

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

4572288000000 is an frugal number, since it uses more digits than its factorization.

4572288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 4572288000000 in words is "four trillion, five hundred seventy-two billion, two hundred eighty-eight million", and thus it is an aban number.