4032454542304 has 96 divisors (see below), whose sum is σ = 8351847512064. Its totient is φ = 1913860016640.

The previous prime is 4032454542301. The next prime is 4032454542313.

4032454542304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032454542301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257772307 + ... + 257787949.

It is an arithmetic number, because the mean of its divisors is an integer number (86998411584).

Almost surely, 2^{4032454542304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032454542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175923756032).

4032454542304 is an abundant number, since it is smaller than the sum of its proper divisors (4319392969760).

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

4032454542304 is a wasteful number, since it uses less digits than its factorization.

4032454542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20640 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

The spelling of 4032454542304 in words is "four trillion, thirty-two billion, four hundred fifty-four million, five hundred forty-two thousand, three hundred four".