405142141032 has 96 divisors (see below), whose sum is σ = 1110360069000. Its totient is φ = 133437173760.

The previous prime is 405142140989. The next prime is 405142141037. The reversal of 405142141032 is 230141241504.

405142141032 is a `hidden beast` number, since 4 + 0 + 514 + 2 + 141 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 359488981476 + 45653159556 = 599574^2 + 213666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405142140987 and 405142141005.

It is not an unprimeable number, because it can be changed into a prime (405142141037) 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 23 ways as a sum of consecutive naturals, for example, 9520282 + ... + 9562742.

Almost surely, 2^405142141032 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 405142141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555180034500).

405142141032 is an abundant number, since it is smaller than the sum of its proper divisors (705217927968).

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

405142141032 is a wasteful number, since it uses less digits than its factorization.

405142141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44051 (or 44044 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 405142141032 its reverse (230141241504), we get a palindrome (635283382536).

The spelling of 405142141032 in words is "four hundred five billion, one hundred forty-two million, one hundred forty-one thousand, thirty-two".