404588230045272 has 2048 divisors, whose sum is σ = 1512469905408000. Its totient is φ = 98537373462528.

The previous prime is 404588230045271. The next prime is 404588230045273. The reversal of 404588230045272 is 272540032885404.

404588230045272 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 8 + 82 + 30 + 0 + 4 + 527 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (404588230045271) and next prime (404588230045273).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404588230045271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 140141401413 + ... + 140141404299.

It is an arithmetic number, because the mean of its divisors is an integer number (738510696000).

Almost surely, 2^{404588230045272} is an apocalyptic number.

404588230045272 is a gapful number since it is divisible by the number (42) 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 404588230045272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756234952704000).

404588230045272 is an abundant number, since it is smaller than the sum of its proper divisors (1107881675362728).

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

404588230045272 is a wasteful number, since it uses less digits than its factorization.

404588230045272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 404588230045272 in words is "four hundred four trillion, five hundred eighty-eight billion, two hundred thirty million, forty-five thousand, two hundred seventy-two".