405168220800 has 2880 divisors, whose sum is σ = 1936578283200. Its totient is φ = 82771476480.

The previous prime is 405168220729. The next prime is 405168220859. The reversal of 405168220800 is 8022861504.

405168220800 is a `hidden beast` number, since 40 + 516 + 8 + 2 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×405168220800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5550249564 + ... + 5550249636.

It is an arithmetic number, because the mean of its divisors is an integer number (672423015).

Almost surely, 2^405168220800 is an apocalyptic number.

405168220800 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 405168220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968289141600).

405168220800 is an abundant number, since it is smaller than the sum of its proper divisors (1531410062400).

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

405168220800 is a wasteful number, since it uses less digits than its factorization.

405168220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 405168220800 in words is "four hundred five billion, one hundred sixty-eight million, two hundred twenty thousand, eight hundred".