404011340444124 has 384 divisors, whose sum is σ = 1288625006592000. Its totient is φ = 107014419945216.

The previous prime is 404011340444057. The next prime is 404011340444149. The reversal of 404011340444124 is 421444043110404.

404011340444124 is a `hidden beast` number, since 4 + 0 + 40 + 1 + 13 + 40 + 444 + 124 = 666.

It is a super-2 number, since 2×404011340444124² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51989377 + ... + 59252999.

It is an arithmetic number, because the mean of its divisors is an integer number (3355794288000).

Almost surely, 2^{404011340444124} 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 404011340444124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644312503296000).

404011340444124 is an abundant number, since it is smaller than the sum of its proper divisors (884613666147876).

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

404011340444124 is a wasteful number, since it uses less digits than its factorization.

404011340444124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263774 (or 7263766 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 404011340444124 its reverse (421444043110404), we get a palindrome (825455383554528).

The spelling of 404011340444124 in words is "four hundred four trillion, eleven billion, three hundred forty million, four hundred forty-four thousand, one hundred twenty-four".