405032142312 has 768 divisors, whose sum is σ = 1462370112000. Its totient is φ = 103004504064.

The previous prime is 405032142311. The next prime is 405032142341. The reversal of 405032142312 is 213241230504.

405032142312 is a `hidden beast` number, since 4 + 0 + 503 + 2 + 142 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405032142311) 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 191 ways as a sum of consecutive naturals, for example, 401418864 + ... + 401419872.

It is an arithmetic number, because the mean of its divisors is an integer number (1904127750).

Almost surely, 2^405032142312 is an apocalyptic number.

405032142312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405032142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731185056000).

405032142312 is an abundant number, since it is smaller than the sum of its proper divisors (1057337969688).

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

405032142312 is a wasteful number, since it uses less digits than its factorization.

405032142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 405032142312 its reverse (213241230504), we get a palindrome (618273372816).

The spelling of 405032142312 in words is "four hundred five billion, thirty-two million, one hundred forty-two thousand, three hundred twelve".