45254432341440 has 448 divisors, whose sum is σ = 182721681515520. Its totient is φ = 10328716062720.

The previous prime is 45254432341351. The next prime is 45254432341451. The reversal of 45254432341440 is 4414323445254.

45254432341440 is a `hidden beast` number, since 4 + 5 + 2 + 544 + 3 + 23 + 41 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40760070 + ... + 41855610.

It is an arithmetic number, because the mean of its divisors is an integer number (407860896240).

Almost surely, 2^{45254432341440} is an apocalyptic number.

45254432341440 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 45254432341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91360840757760).

45254432341440 is an abundant number, since it is smaller than the sum of its proper divisors (137467249174080).

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

45254432341440 is a wasteful number, since it uses less digits than its factorization.

45254432341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096257 (or 1096241 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 45254432341440 its reverse (4414323445254), we get a palindrome (49668755786694).

The spelling of 45254432341440 in words is "forty-five trillion, two hundred fifty-four billion, four hundred thirty-two million, three hundred forty-one thousand, four hundred forty".