45434353353440 has 96 divisors (see below), whose sum is σ = 109965156293664. Its totient is φ = 17729111900160.

The previous prime is 45434353353421. The next prime is 45434353353449. The reversal of 45434353353440 is 4435335343454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434353353449) 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, 86967887 + ... + 87488753.

It is an arithmetic number, because the mean of its divisors is an integer number (1145470378059).

Almost surely, 2^{45434353353440} is an apocalyptic number.

45434353353440 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 45434353353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54982578146832).

45434353353440 is an abundant number, since it is smaller than the sum of its proper divisors (64530802940224).

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

45434353353440 is a wasteful number, since it uses less digits than its factorization.

45434353353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534220 (or 534212 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 50.

Adding to 45434353353440 its reverse (4435335343454), we get a palindrome (49869688696894).

The spelling of 45434353353440 in words is "forty-five trillion, four hundred thirty-four billion, three hundred fifty-three million, three hundred fifty-three thousand, four hundred forty".