4003335504560 has 160 divisors (see below), whose sum is σ = 10926858172032. Its totient is φ = 1335240253440.

The previous prime is 4003335504503. The next prime is 4003335504563. The reversal of 4003335504560 is 654055333004.

It is not an unprimeable number, because it can be changed into a prime (4003335504563) 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, 149025530 + ... + 149052390.

Almost surely, 2^{4003335504560} is an apocalyptic number.

4003335504560 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 4003335504560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463429086016).

4003335504560 is an abundant number, since it is smaller than the sum of its proper divisors (6923522667472).

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

4003335504560 is a wasteful number, since it uses less digits than its factorization.

4003335504560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34111 (or 34105 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

The spelling of 4003335504560 in words is "four trillion, three billion, three hundred thirty-five million, five hundred four thousand, five hundred sixty".