4000493569440 has 192 divisors, whose sum is σ = 12673595805696. Its totient is φ = 1060716045312.

The previous prime is 4000493569361. The next prime is 4000493569441. The reversal of 4000493569440 is 449653940004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4000493569440.

It is not an unprimeable number, because it can be changed into a prime (4000493569441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62862117 + ... + 62925723.

It is an arithmetic number, because the mean of its divisors is an integer number (66008311488).

Almost surely, 2^{4000493569440} is an apocalyptic number.

4000493569440 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 4000493569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336797902848).

4000493569440 is an abundant number, since it is smaller than the sum of its proper divisors (8673102236256).

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

4000493569440 is a wasteful number, since it uses less digits than its factorization.

4000493569440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64371 (or 64363 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 4000493569440 in words is "four trillion, four hundred ninety-three million, five hundred sixty-nine thousand, four hundred forty".