4003560000000 has 1280 divisors, whose sum is σ = 16208114757120. Its totient is φ = 967680000000.

The previous prime is 4003559999947. The next prime is 4003560000017. The reversal of 4003560000000 is 653004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11879999832 + ... + 11880000168.

It is an arithmetic number, because the mean of its divisors is an integer number (12662589654).

Almost surely, 2^{4003560000000} is an apocalyptic number.

4003560000000 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 4003560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104057378560).

4003560000000 is an abundant number, since it is smaller than the sum of its proper divisors (12204554757120).

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

4003560000000 is an frugal number, since it uses more digits than its factorization.

4003560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 4003560000000 its reverse (653004), we get a palindrome (4003560653004).

The spelling of 4003560000000 in words is "four trillion, three billion, five hundred sixty million", and thus it is an aban number.