405000124992 has 168 divisors, whose sum is σ = 1191194439552. Its totient is φ = 131499648000.

The previous prime is 405000124981. The next prime is 405000125009. The reversal of 405000124992 is 299421000504.

405000124992 is a `hidden beast` number, since 40 + 500 + 0 + 1 + 24 + 9 + 92 = 666.

405000124992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676742 + ... + 5747642.

Almost surely, 2^405000124992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405000124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595597219776).

405000124992 is an abundant number, since it is smaller than the sum of its proper divisors (786194314560).

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

405000124992 is a wasteful number, since it uses less digits than its factorization.

405000124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71177 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 405000124992 in words is "four hundred five billion, one hundred twenty-four thousand, nine hundred ninety-two".