4002521469216 has 48 divisors (see below), whose sum is σ = 10530996271488. Its totient is φ = 1331078278400.

The previous prime is 4002521469209. The next prime is 4002521469241. The reversal of 4002521469216 is 6129641252004.

4002521469216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4002521469216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48326295 + ... + 48409046.

It is an arithmetic number, because the mean of its divisors is an integer number (219395755656).

Almost surely, 2^{4002521469216} is an apocalyptic number.

It is an amenable number.

4002521469216 is an abundant number, since it is smaller than the sum of its proper divisors (6528474802272).

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

4002521469216 is a wasteful number, since it uses less digits than its factorization.

4002521469216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96735785 (or 96735777 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 4002521469216 in words is "four trillion, two billion, five hundred twenty-one million, four hundred sixty-nine thousand, two hundred sixteen".