408474166464000 has 8960 divisors, whose sum is σ = 2025505399357440. Its totient is φ = 79775937331200.

The previous prime is 408474166463969. The next prime is 408474166464029. The reversal of 408474166464000 is 464661474804.

It is a happy number.

408474166464000 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 74 + 166 + 4 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

It is a super-2 number, since 2×408474166464000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 4589597375956 + ... + 4589597376044.

It is an arithmetic number, because the mean of its divisors is an integer number (226060870464).

Almost surely, 2^{408474166464000} is an apocalyptic number.

408474166464000 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 408474166464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012752699678720).

408474166464000 is an abundant number, since it is smaller than the sum of its proper divisors (1617031232893440).

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

408474166464000 is an equidigital number, since it uses as much as digits as its factorization.

408474166464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 408474166464000 in words is "four hundred eight trillion, four hundred seventy-four billion, one hundred sixty-six million, four hundred sixty-four thousand".