401432201333252 has 24 divisors (see below), whose sum is σ = 744158078639640. Its totient is φ = 188826014522880.

The previous prime is 401432201333249. The next prime is 401432201333287. The reversal of 401432201333252 is 252333102234104.

It can be written as a sum of positive squares in 4 ways, for example, as 661190154496 + 400771011178756 = 813136^2 + 20019266^2 .

It is a super-3 number, since 3×401432201333252³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300730399 + ... + 1301038982.

It is an arithmetic number, because the mean of its divisors is an integer number (31006586609985).

Almost surely, 2^{401432201333252} is an apocalyptic number.

It is an amenable number.

401432201333252 is a deficient number, since it is larger than the sum of its proper divisors (342725877306388).

401432201333252 is a wasteful number, since it uses less digits than its factorization.

401432201333252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601771671 (or 2601771669 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 401432201333252 its reverse (252333102234104), we get a palindrome (653765303567356).

The spelling of 401432201333252 in words is "four hundred one trillion, four hundred thirty-two billion, two hundred one million, three hundred thirty-three thousand, two hundred fifty-two".