406105574400 has 1584 divisors, whose sum is σ = 1683184233600. Its totient is φ = 95657656320.

The previous prime is 406105574393. The next prime is 406105574431. The reversal of 406105574400 is 4475501604.

406105574400 is a `hidden beast` number, since 4 + 0 + 61 + 0 + 557 + 4 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3795379147 + ... + 3795379253.

Almost surely, 2^406105574400 is an apocalyptic number.

406105574400 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 406105574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841592116800).

406105574400 is an abundant number, since it is smaller than the sum of its proper divisors (1277078659200).

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

406105574400 is a wasteful number, since it uses less digits than its factorization.

406105574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 406105574400 in words is "four hundred six billion, one hundred five million, five hundred seventy-four thousand, four hundred".