4575835840224 has 96 divisors (see below), whose sum is σ = 13148252740224. Its totient is φ = 1381884346880.

The previous prime is 4575835840223. The next prime is 4575835840229. The reversal of 4575835840224 is 4220485385754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575835840223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7085094 + ... + 7703909.

It is an arithmetic number, because the mean of its divisors is an integer number (136960966044).

Almost surely, 2^{4575835840224} is an apocalyptic number.

4575835840224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4575835840224 is an abundant number, since it is smaller than the sum of its proper divisors (8572416900000).

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

4575835840224 is a wasteful number, since it uses less digits than its factorization.

4575835840224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789320 (or 14789312 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 57.

The spelling of 4575835840224 in words is "four trillion, five hundred seventy-five billion, eight hundred thirty-five million, eight hundred forty thousand, two hundred twenty-four".