401984175600 has 1200 divisors, whose sum is σ = 1724992355328. Its totient is φ = 87735674880.

The previous prime is 401984175559. The next prime is 401984175679. The reversal of 401984175600 is 6571489104.

401984175600 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 84 + 1 + 7 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 458362362 + ... + 458363238.

Almost surely, 2^401984175600 is an apocalyptic number.

401984175600 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 401984175600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862496177664).

401984175600 is an abundant number, since it is smaller than the sum of its proper divisors (1323008179728).

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

401984175600 is a wasteful number, since it uses less digits than its factorization.

401984175600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 401984175600 in words is "four hundred one billion, nine hundred eighty-four million, one hundred seventy-five thousand, six hundred".