4557460491360 has 1152 divisors, whose sum is σ = 18949707399168. Its totient is φ = 975421440000.

The previous prime is 4557460491347. The next prime is 4557460491379. The reversal of 4557460491360 is 631940647554.

It is a happy number.

4557460491360 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 460 + 49 + 136 + 0 = 666.

It is a super-2 number, since 2×4557460491360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4557460491297 and 4557460491306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1627081960 + ... + 1627084760.

It is an arithmetic number, because the mean of its divisors is an integer number (16449398784).

Almost surely, 2^{4557460491360} is an apocalyptic number.

4557460491360 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 4557460491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474853699584).

4557460491360 is an abundant number, since it is smaller than the sum of its proper divisors (14392246907808).

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

4557460491360 is a wasteful number, since it uses less digits than its factorization.

4557460491360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4557460491360 in words is "four trillion, five hundred fifty-seven billion, four hundred sixty million, four hundred ninety-one thousand, three hundred sixty".