45144030055040 has 128 divisors (see below), whose sum is σ = 123449783771520. Its totient is φ = 15464168755200.

The previous prime is 45144030055027. The next prime is 45144030055043. The reversal of 45144030055040 is 4055003044154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45144030055040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (45144030055043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544490 + ... + 9517590.

It is an arithmetic number, because the mean of its divisors is an integer number (964451435715).

Almost surely, 2^{45144030055040} is an apocalyptic number.

45144030055040 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 45144030055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724891885760).

45144030055040 is an abundant number, since it is smaller than the sum of its proper divisors (78305753716480).

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

45144030055040 is a wasteful number, since it uses less digits than its factorization.

45144030055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974250 (or 8974238 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 45144030055040 its reverse (4055003044154), we get a palindrome (49199033099194).

The spelling of 45144030055040 in words is "forty-five trillion, one hundred forty-four billion, thirty million, fifty-five thousand, forty".