404251532002432 has 128 divisors (see below), whose sum is σ = 857262666516480. Its totient is φ = 189222332006400.

The previous prime is 404251532002361. The next prime is 404251532002489. The reversal of 404251532002432 is 234200235152404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×404251532002432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404251532002391 and 404251532002400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149858608 + ... + 5149937104.

It is an arithmetic number, because the mean of its divisors is an integer number (6697364582160).

Almost surely, 2^{404251532002432} 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 404251532002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428631333258240).

404251532002432 is an abundant number, since it is smaller than the sum of its proper divisors (453011134514048).

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

404251532002432 is a wasteful number, since it uses less digits than its factorization.

404251532002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91110 (or 91098 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 404251532002432 its reverse (234200235152404), we get a palindrome (638451767154836).

The spelling of 404251532002432 in words is "four hundred four trillion, two hundred fifty-one billion, five hundred thirty-two million, two thousand, four hundred thirty-two".