406173081600 has 2016 divisors, whose sum is σ = 1810205639424. Its totient is φ = 85642444800.

The previous prime is 406173081583. The next prime is 406173081661. The reversal of 406173081600 is 6180371604.

406173081600 is a `hidden beast` number, since 4 + 0 + 6 + 17 + 30 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6062284767 + ... + 6062284833.

It is an arithmetic number, because the mean of its divisors is an integer number (897919464).

Almost surely, 2^406173081600 is an apocalyptic number.

406173081600 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 406173081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905102819712).

406173081600 is an abundant number, since it is smaller than the sum of its proper divisors (1404032557824).

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

406173081600 is a wasteful number, since it uses less digits than its factorization.

406173081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 406173081600 in words is "four hundred six billion, one hundred seventy-three million, eighty-one thousand, six hundred".