404106278400 has 1680 divisors, whose sum is σ = 1703721811968. Its totient is φ = 94058496000.

The previous prime is 404106278377. The next prime is 404106278441. The reversal of 404106278400 is 4872601404.

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

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3181939137 + ... + 3181939263.

Almost surely, 2^404106278400 is an apocalyptic number.

404106278400 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 404106278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851860905984).

404106278400 is an abundant number, since it is smaller than the sum of its proper divisors (1299615533568).

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

404106278400 is a wasteful number, since it uses less digits than its factorization.

404106278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 404106278400 its reverse (4872601404), we get a palindrome (408978879804).

The spelling of 404106278400 in words is "four hundred four billion, one hundred six million, two hundred seventy-eight thousand, four hundred".