405015133242401 has 32 divisors (see below), whose sum is σ = 454972605696000. Its totient is φ = 357344715571200.

The previous prime is 405015133242329. The next prime is 405015133242403. The reversal of 405015133242401 is 104242331510504.

It is a cyclic number.

It is not a de Polignac number, because 405015133242401 - 2¹⁰ = 405015133241377 is a prime.

It is a super-3 number, since 3×405015133242401³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405015133242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85433600 + ... + 90049598.

It is an arithmetic number, because the mean of its divisors is an integer number (14217893928000).

Almost surely, 2^{405015133242401} is an apocalyptic number.

405015133242401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

405015133242401 is a deficient number, since it is larger than the sum of its proper divisors (49957472453599).

405015133242401 is a wasteful number, since it uses less digits than its factorization.

405015133242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617065.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 405015133242401 its reverse (104242331510504), we get a palindrome (509257464752905).

The spelling of 405015133242401 in words is "four hundred five trillion, fifteen billion, one hundred thirty-three million, two hundred forty-two thousand, four hundred one".