401153253324005 has 96 divisors (see below), whose sum is σ = 604587505602528. Its totient is φ = 253270615449600.

The previous prime is 401153253323987. The next prime is 401153253324013. The reversal of 401153253324005 is 500423352351104.

It can be written as a sum of positive squares in 16 ways, for example, as 353496515059009 + 47656738264996 = 18801503^2 + 6903386^2 .

It is not a de Polignac number, because 401153253324005 - 2¹⁰ = 401153253322981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401153253324005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9108609785 + ... + 9108653825.

It is an arithmetic number, because the mean of its divisors is an integer number (6297786516693).

Almost surely, 2^{401153253324005} is an apocalyptic number.

It is an amenable number.

401153253324005 is a deficient number, since it is larger than the sum of its proper divisors (203434252278523).

401153253324005 is a wasteful number, since it uses less digits than its factorization.

401153253324005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51287 (or 51280 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 401153253324005 in words is "four hundred one trillion, one hundred fifty-three billion, two hundred fifty-three million, three hundred twenty-four thousand, five".