4121829264480 has 96 divisors (see below), whose sum is σ = 12987531900000. Its totient is φ = 1098835341312.

The previous prime is 4121829264419. The next prime is 4121829264481. The reversal of 4121829264480 is 844629281214.

4121829264480 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121829264481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410646 + ... + 2900394.

It is an arithmetic number, because the mean of its divisors is an integer number (135286790625).

Almost surely, 2^{4121829264480} is an apocalyptic number.

4121829264480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121829264480 is an abundant number, since it is smaller than the sum of its proper divisors (8865702635520).

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

4121829264480 is a wasteful number, since it uses less digits than its factorization.

4121829264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493216 (or 2493208 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 4121829264480 in words is "four trillion, one hundred twenty-one billion, eight hundred twenty-nine million, two hundred sixty-four thousand, four hundred eighty".