45273997440 has 1280 divisors, whose sum is σ = 201539923200. Its totient is φ = 9448980480.

The previous prime is 45273997421. The next prime is 45273997441. The reversal of 45273997440 is 4479937254.

45273997440 is a `hidden beast` number, since 4 + 527 + 3 + 9 + 9 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45273997441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252927271 + ... + 252927449.

It is an arithmetic number, because the mean of its divisors is an integer number (157453065).

Almost surely, 2^45273997440 is an apocalyptic number.

45273997440 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 45273997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100769961600).

45273997440 is an abundant number, since it is smaller than the sum of its proper divisors (156265925760).

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

45273997440 is a wasteful number, since it uses less digits than its factorization.

45273997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45273997440 in words is "forty-five billion, two hundred seventy-three million, nine hundred ninety-seven thousand, four hundred forty".