404014223040 has 224 divisors, whose sum is σ = 1317015806400. Its totient is φ = 104870707200.

The previous prime is 404014222919. The next prime is 404014223059. The reversal of 404014223040 is 40322410404.

It is a happy number.

It is a super-2 number, since 2×404014223040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404014223040.

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, 17661210 + ... + 17684070.

It is an arithmetic number, because the mean of its divisors is an integer number (5879534850).

Almost surely, 2^404014223040 is an apocalyptic number.

404014223040 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 404014223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658507903200).

404014223040 is an abundant number, since it is smaller than the sum of its proper divisors (913001583360).

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

404014223040 is a wasteful number, since it uses less digits than its factorization.

404014223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23371 (or 23361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404014223040 its reverse (40322410404), we get a palindrome (444336633444).

The spelling of 404014223040 in words is "four hundred four billion, fourteen million, two hundred twenty-three thousand, forty".