405201420000 has 960 divisors, whose sum is σ = 1603954820160. Its totient is φ = 98896896000.

The previous prime is 405201419923. The next prime is 405201420017. The reversal of 405201420000 is 24102504.

405201420000 is a `hidden beast` number, since 4 + 0 + 520 + 142 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1382939854 + ... + 1382940146.

It is an arithmetic number, because the mean of its divisors is an integer number (1670786271).

Almost surely, 2^405201420000 is an apocalyptic number.

405201420000 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 405201420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801977410080).

405201420000 is an abundant number, since it is smaller than the sum of its proper divisors (1198753400160).

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

405201420000 is a wasteful number, since it uses less digits than its factorization.

405201420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 405201420000 its reverse (24102504), we get a palindrome (405225522504).

The spelling of 405201420000 in words is "four hundred five billion, two hundred one million, four hundred twenty thousand".