4541945760 has 576 divisors, whose sum is σ = 18188561664. Its totient is φ = 1019904000.

The previous prime is 4541945753. The next prime is 4541945773. The reversal of 4541945760 is 675491454.

4541945760 is a `hidden beast` number, since 4 + 541 + 9 + 45 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27197197 + ... + 27197363.

It is an arithmetic number, because the mean of its divisors is an integer number (31577364).

Almost surely, 2^4541945760 is an apocalyptic number.

4541945760 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 4541945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094280832).

4541945760 is an abundant number, since it is smaller than the sum of its proper divisors (13646615904).

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

4541945760 is a wasteful number, since it uses less digits than its factorization.

4541945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4541945760 is about 67393.9593732257. The cubic root of 4541945760 is about 1656.0774660954.

It can be divided in two parts, 454194 and 5760, that added together give a palindrome (459954).

The spelling of 4541945760 in words is "four billion, five hundred forty-one million, nine hundred forty-five thousand, seven hundred sixty".