9440105076480 has 1728 divisors, whose sum is σ = 35303422758912. Its totient is φ = 2144812400640.

The previous prime is 9440105076469. The next prime is 9440105076539. The reversal of 9440105076480 is 846705010449.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 42332309649 + ... + 42332309871.

It is an arithmetic number, because the mean of its divisors is an integer number (20430221504).

Almost surely, 2^{9440105076480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9440105076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651711379456).

9440105076480 is an abundant number, since it is smaller than the sum of its proper divisors (25863317682432).

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

9440105076480 is a wasteful number, since it uses less digits than its factorization.

9440105076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 9440105076480 in words is "nine trillion, four hundred forty billion, one hundred five million, seventy-six thousand, four hundred eighty".