45283069440 has 480 divisors, whose sum is σ = 185888102400. Its totient is φ = 10349420544.

The previous prime is 45283069397. The next prime is 45283069451. The reversal of 45283069440 is 4496038254.

45283069440 is a `hidden beast` number, since 4 + 528 + 30 + 6 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4349361 + ... + 4359759.

It is an arithmetic number, because the mean of its divisors is an integer number (387266880).

Almost surely, 2^45283069440 is an apocalyptic number.

45283069440 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 45283069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944051200).

45283069440 is an abundant number, since it is smaller than the sum of its proper divisors (140605032960).

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

45283069440 is an equidigital number, since it uses as much as digits as its factorization.

45283069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45283069440 in words is "forty-five billion, two hundred eighty-three million, sixty-nine thousand, four hundred forty".