404012513324420 has 768 divisors, whose sum is σ = 1237634231500800. Its totient is φ = 106555347763200.

The previous prime is 404012513324393. The next prime is 404012513324473. The reversal of 404012513324420 is 24423315210404.

It is a super-2 number, since 2×404012513324420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 8470017731 + ... + 8470065429.

It is an arithmetic number, because the mean of its divisors is an integer number (1611502905600).

Almost surely, 2^{404012513324420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404012513324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618817115750400).

404012513324420 is an abundant number, since it is smaller than the sum of its proper divisors (833621718176380).

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

404012513324420 is a wasteful number, since it uses less digits than its factorization.

404012513324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48404 (or 48402 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 404012513324420 its reverse (24423315210404), we get a palindrome (428435828534824).

The spelling of 404012513324420 in words is "four hundred four trillion, twelve billion, five hundred thirteen million, three hundred twenty-four thousand, four hundred twenty".