404040134000 has 160 divisors (see below), whose sum is σ = 984608980992. Its totient is φ = 160356000000.

The previous prime is 404040133969. The next prime is 404040134063. The reversal of 404040134000 is 431040404.

It is a super-3 number, since 3×404040134000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351033425 + ... + 351034575.

Almost surely, 2^404040134000 is an apocalyptic number.

404040134000 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 404040134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492304490496).

404040134000 is an abundant number, since it is smaller than the sum of its proper divisors (580568846992).

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

404040134000 is a wasteful number, since it uses less digits than its factorization.

404040134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404040134000 its reverse (431040404), we get a palindrome (404471174404).

The spelling of 404040134000 in words is "four hundred four billion, forty million, one hundred thirty-four thousand".