405112141032 has 128 divisors (see below), whose sum is σ = 1058319820800. Its totient is φ = 129132707328.

The previous prime is 405112141003. The next prime is 405112141039. The reversal of 405112141032 is 230141211504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 405112140993 and 405112141011.

It is not an unprimeable number, because it can be changed into a prime (405112141039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8787819 + ... + 8833797.

It is an arithmetic number, because the mean of its divisors is an integer number (8268123600).

Almost surely, 2^405112141032 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 405112141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529159910400).

405112141032 is an abundant number, since it is smaller than the sum of its proper divisors (653207679768).

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

405112141032 is a wasteful number, since it uses less digits than its factorization.

405112141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46215 (or 46211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 405112141032 its reverse (230141211504), we get a palindrome (635253352536).

The spelling of 405112141032 in words is "four hundred five billion, one hundred twelve million, one hundred forty-one thousand, thirty-two".