9045044143740 has 1152 divisors, whose sum is σ = 33481898311680. Its totient is φ = 1967099904000.

The previous prime is 9045044143739. The next prime is 9045044143777. The reversal of 9045044143740 is 473414405409.

9045044143740 is a `hidden beast` number, since 90 + 4 + 50 + 4 + 41 + 437 + 40 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8964364356 + ... + 8964365364.

It is an arithmetic number, because the mean of its divisors is an integer number (29064147840).

Almost surely, 2^{9045044143740} is an apocalyptic number.

9045044143740 is a gapful number since it is divisible by the number (90) 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 9045044143740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740949155840).

9045044143740 is an abundant number, since it is smaller than the sum of its proper divisors (24436854167940).

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

9045044143740 is a wasteful number, since it uses less digits than its factorization.

9045044143740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 9045044143740 in words is "nine trillion, forty-five billion, forty-four million, one hundred forty-three thousand, seven hundred forty".