405723076000 has 192 divisors, whose sum is σ = 1093028961024. Its totient is φ = 146783616000.

The previous prime is 405723075959. The next prime is 405723076001. The reversal of 405723076000 is 670327504.

It is a happy number.

It is a super-2 number, since 2×405723076000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405723076001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8644597 + ... + 8691403.

It is an arithmetic number, because the mean of its divisors is an integer number (5692859172).

Almost surely, 2^405723076000 is an apocalyptic number.

405723076000 is a gapful number since it is divisible by the number (40) 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 405723076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546514480512).

405723076000 is an abundant number, since it is smaller than the sum of its proper divisors (687305885024).

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

405723076000 is a wasteful number, since it uses less digits than its factorization.

405723076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47040 (or 47022 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 405723076000 in words is "four hundred five billion, seven hundred twenty-three million, seventy-six thousand".