45420243517440 has 1632 divisors, whose sum is σ = 179018239795200. Its totient is φ = 10555679047680.

The previous prime is 45420243517427. The next prime is 45420243517469. The reversal of 45420243517440 is 4471534202454.

45420243517440 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 0 + 2 + 435 + 174 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94823055121 + ... + 94823055599.

Almost surely, 2^{45420243517440} is an apocalyptic number.

45420243517440 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 45420243517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89509119897600).

45420243517440 is an abundant number, since it is smaller than the sum of its proper divisors (133597996277760).

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

45420243517440 is a wasteful number, since it uses less digits than its factorization.

45420243517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

Adding to 45420243517440 its reverse (4471534202454), we get a palindrome (49891777719894).

The spelling of 45420243517440 in words is "forty-five trillion, four hundred twenty billion, two hundred forty-three million, five hundred seventeen thousand, four hundred forty".