404201405525352 has 128 divisors (see below), whose sum is σ = 1065035685853440. Its totient is φ = 127665353041920.

The previous prime is 404201405525327. The next prime is 404201405525387. The reversal of 404201405525352 is 253525504102404.

It is a super-2 number, since 2×404201405525352² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10313373 + ... + 30245139.

It is an arithmetic number, because the mean of its divisors is an integer number (8320591295730).

Almost surely, 2^{404201405525352} 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 404201405525352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532517842926720).

404201405525352 is an abundant number, since it is smaller than the sum of its proper divisors (660834280328088).

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

404201405525352 is a wasteful number, since it uses less digits than its factorization.

404201405525352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19932411 (or 19932407 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 404201405525352 its reverse (253525504102404), we get a palindrome (657726909627756).

The spelling of 404201405525352 in words is "four hundred four trillion, two hundred one billion, four hundred five million, five hundred twenty-five thousand, three hundred fifty-two".