405352121253504 has 64 divisors (see below), whose sum is σ = 1102977951929280. Its totient is φ = 131821828044800.

The previous prime is 405352121253491. The next prime is 405352121253587.

405352121253504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×405352121253504³ (a number of 45 digits) contains 333 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, 12873209652 + ... + 12873241139.

It is an arithmetic number, because the mean of its divisors is an integer number (17234030498895).

Almost surely, 2^{405352121253504} is an apocalyptic number.

It is an amenable number.

405352121253504 is an abundant number, since it is smaller than the sum of its proper divisors (697625830675776).

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

405352121253504 is a wasteful number, since it uses less digits than its factorization.

405352121253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746450849 (or 25746450837 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 405352121253504 in words is "four hundred five trillion, three hundred fifty-two billion, one hundred twenty-one million, two hundred fifty-three thousand, five hundred four".