405152316410633 has 32 divisors (see below), whose sum is σ = 448036358676480. Its totient is φ = 363297335589760.

The previous prime is 405152316410627. The next prime is 405152316410657. The reversal of 405152316410633 is 336014613251504.

It is a happy number.

It is not a de Polignac number, because 405152316410633 - 2²⁰ = 405152315362057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405152316410833) 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, 2622488516 + ... + 2622643002.

It is an arithmetic number, because the mean of its divisors is an integer number (14001136208640).

Almost surely, 2^{405152316410633} is an apocalyptic number.

It is an amenable number.

405152316410633 is a deficient number, since it is larger than the sum of its proper divisors (42884042265847).

405152316410633 is a wasteful number, since it uses less digits than its factorization.

405152316410633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161077.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 405152316410633 in words is "four hundred five trillion, one hundred fifty-two billion, three hundred sixteen million, four hundred ten thousand, six hundred thirty-three".