404272484272404 has 192 divisors, whose sum is σ = 1163278058342400. Its totient is φ = 120387932985600.

The previous prime is 404272484272229. The next prime is 404272484272441.

404272484272404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404272484272404² (a number of 30 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 18088792 + ... + 33700880.

It is an arithmetic number, because the mean of its divisors is an integer number (6058739887200).

Almost surely, 2^{404272484272404} is an apocalyptic number.

404272484272404 is a gapful number since it is divisible by the number (44) 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 404272484272404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581639029171200).

404272484272404 is an abundant number, since it is smaller than the sum of its proper divisors (759005574069996).

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

404272484272404 is a wasteful number, since it uses less digits than its factorization.

404272484272404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15612491 (or 15612483 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 54.

The spelling of 404272484272404 in words is "four hundred four trillion, two hundred seventy-two billion, four hundred eighty-four million, two hundred seventy-two thousand, four hundred four".