405915027012889 has 27 divisors (see below), whose sum is σ = 427270480117663. Its totient is φ = 385595132105744.

The previous prime is 405915027012883. The next prime is 405915027012967. The reversal of 405915027012889 is 988210720519504.

The square root of 405915027012889 is 20147333.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47555740068489 + 358359286944400 = 6896067^2 + 18930380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-405915027012889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405915027012883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69044907252 + ... + 69044913130.

Almost surely, 2^{405915027012889} is an apocalyptic number.

405915027012889 is the 20147333-rd square number.

405915027012889 is the 10073667-th centered octagonal number.

It is an amenable number.

405915027012889 is a deficient number, since it is larger than the sum of its proper divisors (21355453104774).

405915027012889 is an frugal number, since it uses more digits than its factorization.

405915027012889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 61.

The spelling of 405915027012889 in words is "four hundred five trillion, nine hundred fifteen billion, twenty-seven million, twelve thousand, eight hundred eighty-nine".