405061112500 has 432 divisors, whose sum is σ = 1030551040512. Its totient is φ = 138996000000.

The previous prime is 405061112483. The next prime is 405061112503. The reversal of 405061112500 is 5211160504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405061112503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2485037419 + ... + 2485037581.

It is an arithmetic number, because the mean of its divisors is an integer number (2385534816).

Almost surely, 2^405061112500 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 405061112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515275520256).

405061112500 is an abundant number, since it is smaller than the sum of its proper divisors (625489928012).

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

405061112500 is a wasteful number, since it uses less digits than its factorization.

405061112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 405061112500 in words is "four hundred five billion, sixty-one million, one hundred twelve thousand, five hundred".