4542581113920 has 672 divisors, whose sum is σ = 17197352984448. Its totient is φ = 1137378557952.

The previous prime is 4542581113907. The next prime is 4542581113921. The reversal of 4542581113920 is 293111852454.

4542581113920 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 581 + 11 + 39 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4542581113921) 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, 585606682 + ... + 585614438.

It is an arithmetic number, because the mean of its divisors is an integer number (25591299084).

Almost surely, 2^{4542581113920} is an apocalyptic number.

4542581113920 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 4542581113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598676492224).

4542581113920 is an abundant number, since it is smaller than the sum of its proper divisors (12654771870528).

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

4542581113920 is a wasteful number, since it uses less digits than its factorization.

4542581113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 4542581113920 in words is "four trillion, five hundred forty-two billion, five hundred eighty-one million, one hundred thirteen thousand, nine hundred twenty".