4089932144640 has 1232 divisors, whose sum is σ = 15671787757200. Its totient is φ = 1021636509696.

The previous prime is 4089932144611. The next prime is 4089932144647. The reversal of 4089932144640 is 464412399804.

4089932144640 is a `hidden beast` number, since 4 + 0 + 89 + 93 + 2 + 14 + 464 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089932144647) 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 87 ways as a sum of consecutive naturals, for example, 45954293716 + ... + 45954293804.

Almost surely, 2^{4089932144640} is an apocalyptic number.

4089932144640 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 4089932144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835893878600).

4089932144640 is an abundant number, since it is smaller than the sum of its proper divisors (11581855612560).

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

4089932144640 is an frugal number, since it uses more digits than its factorization.

4089932144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4089932144640 in words is "four trillion, eighty-nine billion, nine hundred thirty-two million, one hundred forty-four thousand, six hundred forty".