404120441301552 has 480 divisors, whose sum is σ = 1272329222860800. Its totient is φ = 119143287244800.

The previous prime is 404120441301529. The next prime is 404120441301557. The reversal of 404120441301552 is 255103144021404.

404120441301552 is a `hidden beast` number, since 4 + 0 + 4 + 120 + 441 + 30 + 15 + 52 = 666.

It is a super-2 number, since 2×404120441301552² (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 not an unprimeable number, because it can be changed into a prime (404120441301557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3008101902 + ... + 3008236242.

It is an arithmetic number, because the mean of its divisors is an integer number (2650685880960).

Almost surely, 2^{404120441301552} 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 404120441301552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636164611430400).

404120441301552 is an abundant number, since it is smaller than the sum of its proper divisors (868208781559248).

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

404120441301552 is a wasteful number, since it uses less digits than its factorization.

404120441301552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135657 (or 135648 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 404120441301552 its reverse (255103144021404), we get a palindrome (659223585322956).

The spelling of 404120441301552 in words is "four hundred four trillion, one hundred twenty billion, four hundred forty-one million, three hundred one thousand, five hundred fifty-two".