405042142304 has 72 divisors (see below), whose sum is σ = 812896605360. Its totient is φ = 198665222912.

The previous prime is 405042142301. The next prime is 405042142343. The reversal of 405042142304 is 403241240504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405042142301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56026562 + ... + 56033790.

It is an arithmetic number, because the mean of its divisors is an integer number (11290230630).

Almost surely, 2^405042142304 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 405042142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406448302680).

405042142304 is an abundant number, since it is smaller than the sum of its proper divisors (407854463056).

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

405042142304 is an equidigital number, since it uses as much as digits as its factorization.

405042142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 405042142304 its reverse (403241240504), we get a palindrome (808283382808).

The spelling of 405042142304 in words is "four hundred five billion, forty-two million, one hundred forty-two thousand, three hundred four".