45012211440 has 240 divisors, whose sum is σ = 170863528320. Its totient is φ = 9746956800.

The previous prime is 45012211399. The next prime is 45012211463. The reversal of 45012211440 is 4411221054.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45012211440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122715 + ... + 324165.

It is an arithmetic number, because the mean of its divisors is an integer number (711931368).

Almost surely, 2^45012211440 is an apocalyptic number.

45012211440 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 45012211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85431764160).

45012211440 is an abundant number, since it is smaller than the sum of its proper divisors (125851316880).

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

45012211440 is a wasteful number, since it uses less digits than its factorization.

45012211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201500 (or 201487 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 45012211440 its reverse (4411221054), we get a palindrome (49423432494).

The spelling of 45012211440 in words is "forty-five billion, twelve million, two hundred eleven thousand, four hundred forty".