405000010512 has 30 divisors (see below), whose sum is σ = 1133437529822. Its totient is φ = 135000003456.

The previous prime is 405000010451. The next prime is 405000010523. The reversal of 405000010512 is 215010000504.

405000010512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 391971157776 + 13028852736 = 626076^2 + 114144^2 .

It is a super-2 number, since 2×405000010512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1406249893 + ... + 1406250180.

Almost surely, 2^405000010512 is an apocalyptic number.

It is an amenable number.

405000010512 is an abundant number, since it is smaller than the sum of its proper divisors (728437519310).

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

405000010512 is a wasteful number, since it uses less digits than its factorization.

405000010512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812500087 (or 2812500078 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 405000010512 in words is "four hundred five billion, ten thousand, five hundred twelve".