405663120000 has 640 divisors, whose sum is σ = 1510710168000. Its totient is φ = 107122176000.

The previous prime is 405663119989. The next prime is 405663120029. The reversal of 405663120000 is 21366504.

405663120000 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 631 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235439139 + ... + 235440861.

Almost surely, 2^405663120000 is an apocalyptic number.

405663120000 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 405663120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755355084000).

405663120000 is an abundant number, since it is smaller than the sum of its proper divisors (1105047048000).

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

405663120000 is a wasteful number, since it uses less digits than its factorization.

405663120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 405663120000 its reverse (21366504), we get a palindrome (405684486504).

The spelling of 405663120000 in words is "four hundred five billion, six hundred sixty-three million, one hundred twenty thousand".