401151432320305 has 64 divisors (see below), whose sum is σ = 542236162870080. Its totient is φ = 283408177561600.

The previous prime is 401151432320251. The next prime is 401151432320321. The reversal of 401151432320305 is 503023234151104.

It can be written as a sum of positive squares in 32 ways, for example, as 169286979727089 + 231864452593216 = 13011033^2 + 15227096^2 .

It is not a de Polignac number, because 401151432320305 - 2⁹ = 401151432319793 is a prime.

It is a super-2 number, since 2×401151432320305² (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 63 ways as a sum of consecutive naturals, for example, 18251445 + ... + 33695965.

It is an arithmetic number, because the mean of its divisors is an integer number (8472440044845).

Almost surely, 2^{401151432320305} is an apocalyptic number.

It is an amenable number.

401151432320305 is a deficient number, since it is larger than the sum of its proper divisors (141084730549775).

401151432320305 is a wasteful number, since it uses less digits than its factorization.

401151432320305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15444870.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 401151432320305 its reverse (503023234151104), we get a palindrome (904174666471409).

The spelling of 401151432320305 in words is "four hundred one trillion, one hundred fifty-one billion, four hundred thirty-two million, three hundred twenty thousand, three hundred five".