4581041920 has 288 divisors, whose sum is σ = 13730185728. Its totient is φ = 1425752064.

The previous prime is 4581041897. The next prime is 4581041921. The reversal of 4581041920 is 291401854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4581041921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7803867 + ... + 7804453.

It is an arithmetic number, because the mean of its divisors is an integer number (47674256).

Almost surely, 2^4581041920 is an apocalyptic number.

4581041920 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 4581041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865092864).

4581041920 is an abundant number, since it is smaller than the sum of its proper divisors (9149143808).

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

4581041920 is a wasteful number, since it uses less digits than its factorization.

4581041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 4581041920 is about 67683.3947139178. The cubic root of 4581041920 is about 1660.8156247331.

The spelling of 4581041920 in words is "four billion, five hundred eighty-one million, forty-one thousand, nine hundred twenty".