4532452448440 has 128 divisors (see below), whose sum is σ = 11895225840000. Its totient is φ = 1553657892864.

The previous prime is 4532452448393. The next prime is 4532452448449. The reversal of 4532452448440 is 448442542354.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532452448449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70667106 + ... + 70731214.

It is an arithmetic number, because the mean of its divisors is an integer number (92931451875).

Almost surely, 2^{4532452448440} is an apocalyptic number.

4532452448440 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 4532452448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947612920000).

4532452448440 is an abundant number, since it is smaller than the sum of its proper divisors (7362773391560).

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

4532452448440 is a wasteful number, since it uses less digits than its factorization.

4532452448440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69294 (or 69276 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 49.

The spelling of 4532452448440 in words is "four trillion, five hundred thirty-two billion, four hundred fifty-two million, four hundred forty-eight thousand, four hundred forty".