45332440453440 has 1344 divisors, whose sum is σ = 190374516034560. Its totient is φ = 9665033011200.

The previous prime is 45332440453387. The next prime is 45332440453441. The reversal of 45332440453440 is 4435404423354.

45332440453440 is a `hidden beast` number, since 4 + 5 + 3 + 32 + 4 + 40 + 4 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45332440453441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31723190646 + ... + 31723192074.

Almost surely, 2^{45332440453440} is an apocalyptic number.

45332440453440 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 45332440453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95187258017280).

45332440453440 is an abundant number, since it is smaller than the sum of its proper divisors (145042075581120).

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

45332440453440 is a wasteful number, since it uses less digits than its factorization.

45332440453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

Adding to 45332440453440 its reverse (4435404423354), we get a palindrome (49767844876794).

The spelling of 45332440453440 in words is "forty-five trillion, three hundred thirty-two billion, four hundred forty million, four hundred fifty-three thousand, four hundred forty".