405334252000 has 192 divisors, whose sum is σ = 1019425889664. Its totient is φ = 158348390400.

The previous prime is 405334251989. The next prime is 405334252061. The reversal of 405334252000 is 252433504.

It is a self number, because there is not a number n which added to its sum of digits gives 405334252000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30069262 + ... + 30082738.

It is an arithmetic number, because the mean of its divisors is an integer number (5309509842).

Almost surely, 2^405334252000 is an apocalyptic number.

405334252000 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 405334252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509712944832).

405334252000 is an abundant number, since it is smaller than the sum of its proper divisors (614091637664).

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

405334252000 is a wasteful number, since it uses less digits than its factorization.

405334252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 405334252000 its reverse (252433504), we get a palindrome (405586685504).

The spelling of 405334252000 in words is "four hundred five billion, three hundred thirty-four million, two hundred fifty-two thousand".