4532409200064 has 224 divisors, whose sum is σ = 12971646213120. Its totient is φ = 1392400171008.

The previous prime is 4532409200051. The next prime is 4532409200069. The reversal of 4532409200064 is 4600029042354.

It is a junction number, because it is equal to n+sod(n) for n = 4532409199995 and 4532409200031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532409200069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62330832 + ... + 62403504.

It is an arithmetic number, because the mean of its divisors is an integer number (57909134880).

Almost surely, 2^{4532409200064} 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 4532409200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485823106560).

4532409200064 is an abundant number, since it is smaller than the sum of its proper divisors (8439237013056).

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

4532409200064 is a wasteful number, since it uses less digits than its factorization.

4532409200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73227 (or 73217 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 4532409200064 in words is "four trillion, five hundred thirty-two billion, four hundred nine million, two hundred thousand, sixty-four".