4782573404160 has 240 divisors, whose sum is σ = 15319001354496. Its totient is φ = 1274083540992.

The previous prime is 4782573404137. The next prime is 4782573404197. The reversal of 4782573404160 is 614043752874.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4782573404160³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261233727 + ... + 261252033.

Almost surely, 2^{4782573404160} is an apocalyptic number.

4782573404160 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 4782573404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659500677248).

4782573404160 is an abundant number, since it is smaller than the sum of its proper divisors (10536427950336).

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

4782573404160 is a wasteful number, since it uses less digits than its factorization.

4782573404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19406 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 4782573404160 in words is "four trillion, seven hundred eighty-two billion, five hundred seventy-three million, four hundred four thousand, one hundred sixty".