403201121102304 has 96 divisors (see below), whose sum is σ = 1211062476395520. Its totient is φ = 115061357164032.

The previous prime is 403201121102303. The next prime is 403201121102309.

403201121102304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×403201121102304³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403201121102303) 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, 361325704 + ... + 362439879.

It is an arithmetic number, because the mean of its divisors is an integer number (12615234129120).

Almost surely, 2^{403201121102304} is an apocalyptic number.

It is an amenable number.

403201121102304 is an abundant number, since it is smaller than the sum of its proper divisors (807861355293216).

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

403201121102304 is a wasteful number, since it uses less digits than its factorization.

403201121102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723766432 (or 723766424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 403201121102304 in words is "four hundred three trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, three hundred four".