404000324379120 has 640 divisors, whose sum is σ = 1456564693893120. Its totient is φ = 90731199098880.

The previous prime is 404000324379101. The next prime is 404000324379121. The reversal of 404000324379120 is 21973423000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404000324379121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10863417486 + ... + 10863454674.

It is an arithmetic number, because the mean of its divisors is an integer number (2275882334208).

Almost surely, 2^{404000324379120} is an apocalyptic number.

404000324379120 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 404000324379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728282346946560).

404000324379120 is an abundant number, since it is smaller than the sum of its proper divisors (1052564369514000).

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

404000324379120 is a wasteful number, since it uses less digits than its factorization.

404000324379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37813 (or 37807 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 404000324379120 its reverse (21973423000404), we get a palindrome (425973747379524).

The spelling of 404000324379120 in words is "four hundred four trillion, three hundred twenty-four million, three hundred seventy-nine thousand, one hundred twenty".