401225412324541 has 24 divisors (see below), whose sum is σ = 467564210385720. Its totient is φ = 343294132608000.

The previous prime is 401225412324511. The next prime is 401225412324547. The reversal of 401225412324541 is 145423214522104.

It can be written as a sum of positive squares in 4 ways, for example, as 294271861157316 + 106953551167225 = 17154354^2 + 10341835^2 .

It is not a de Polignac number, because 401225412324541 - 2⁵ = 401225412324509 is a prime.

It is a super-3 number, since 3×401225412324541³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 401225412324494 and 401225412324503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401225412324547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246235621 + ... + 247859701.

It is an arithmetic number, because the mean of its divisors is an integer number (19481842099405).

Almost surely, 2^{401225412324541} is an apocalyptic number.

It is an amenable number.

401225412324541 is a deficient number, since it is larger than the sum of its proper divisors (66338798061179).

401225412324541 is a wasteful number, since it uses less digits than its factorization.

401225412324541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633085 (or 1633078 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 401225412324541 its reverse (145423214522104), we get a palindrome (546648626846645).

The spelling of 401225412324541 in words is "four hundred one trillion, two hundred twenty-five billion, four hundred twelve million, three hundred twenty-four thousand, five hundred forty-one".