4540404960 has 288 divisors, whose sum is σ = 19070251200. Its totient is φ = 957947904.

The previous prime is 4540404949. The next prime is 4540404997. The reversal of 4540404960 is 694040454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113716 + ... + 148364.

It is an arithmetic number, because the mean of its divisors is an integer number (66216150).

Almost surely, 2^4540404960 is an apocalyptic number.

4540404960 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 4540404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535125600).

4540404960 is an abundant number, since it is smaller than the sum of its proper divisors (14529846240).

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

4540404960 is a wasteful number, since it uses less digits than its factorization.

4540404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34690 (or 34679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4540404960 is about 67382.5271120043. The cubic root of 4540404960 is about 1655.8901768519.

The spelling of 4540404960 in words is "four billion, five hundred forty million, four hundred four thousand, nine hundred sixty".