9540444695040 has 3780 divisors, whose sum is σ = 44728594629246. Its totient is φ = 1944377229312.

The previous prime is 9540444695039. The next prime is 9540444695113. The reversal of 9540444695040 is 405964440459.

9540444695040 is a `hidden beast` number, since 9 + 54 + 0 + 44 + 46 + 9 + 504 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9273048148224 + 267396546816 = 3045168^2 + 517104^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is an unprimeable number.

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 377 ways as a sum of consecutive naturals, for example, 502128668151 + ... + 502128668169.

Almost surely, 2^{9540444695040} is an apocalyptic number.

9540444695040 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 9540444695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22364297314623).

9540444695040 is an abundant number, since it is smaller than the sum of its proper divisors (35188149934206).

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

9540444695040 is an equidigital number, since it uses as much as digits as its factorization.

9540444695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 9540444695040 in words is "nine trillion, five hundred forty billion, four hundred forty-four million, six hundred ninety-five thousand, forty".