4541001108480 has 1056 divisors, whose sum is σ = 17029950013440. Its totient is φ = 1158800670720.

The previous prime is 4541001108443. The next prime is 4541001108487. The reversal of 4541001108480 is 848011001454.

4541001108480 is a `hidden beast` number, since 4 + 54 + 10 + 0 + 110 + 8 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4541001108487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4582240785 + ... + 4582241775.

Almost surely, 2^{4541001108480} is an apocalyptic number.

4541001108480 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 4541001108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514975006720).

4541001108480 is an abundant number, since it is smaller than the sum of its proper divisors (12488948904960).

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

4541001108480 is a wasteful number, since it uses less digits than its factorization.

4541001108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 4541001108480 in words is "four trillion, five hundred forty-one billion, one million, one hundred eight thousand, four hundred eighty".