4541120640 has 576 divisors, whose sum is σ = 18643135680. Its totient is φ = 997539840.

The previous prime is 4541120629. The next prime is 4541120657. The reversal of 4541120640 is 460211454.

4541120640 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67777887 + ... + 67777953.

It is an arithmetic number, because the mean of its divisors is an integer number (32366555).

Almost surely, 2^4541120640 is an apocalyptic number.

4541120640 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 4541120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321567840).

4541120640 is an abundant number, since it is smaller than the sum of its proper divisors (14102015040).

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

4541120640 is a wasteful number, since it uses less digits than its factorization.

4541120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4541120640 is about 67387.8374782868. The cubic root of 4541120640 is about 1655.9771753488.

It can be divided in two parts, 4 and 541120640, that added together give a square (541120644 = 23262²).

The spelling of 4541120640 in words is "four billion, five hundred forty-one million, one hundred twenty thousand, six hundred forty".