401451323256153 has 24 divisors (see below), whose sum is σ = 584346872004168. Its totient is φ = 265576860628992.

The previous prime is 401451323256091. The next prime is 401451323256163. The reversal of 401451323256153 is 351652323154104.

401451323256153 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 5 + 1 + 3 + 2 + 3 + 25 + 615 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6791460117849 + 394659863138304 = 2606043^2 + 19866048^2 .

It is not a de Polignac number, because 401451323256153 - 2⁸ = 401451323255897 is a prime.

It is a super-2 number, since 2×401451323256153² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401451323256099 and 401451323256108.

It is not an unprimeable number, because it can be changed into a prime (401451323256163) 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, 290390550 + ... + 291769727.

It is an arithmetic number, because the mean of its divisors is an integer number (24347786333507).

Almost surely, 2^{401451323256153} is an apocalyptic number.

It is an amenable number.

401451323256153 is a deficient number, since it is larger than the sum of its proper divisors (182895548748015).

401451323256153 is a wasteful number, since it uses less digits than its factorization.

401451323256153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582160873 (or 582160870 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 401451323256153 in words is "four hundred one trillion, four hundred fifty-one billion, three hundred twenty-three million, two hundred fifty-six thousand, one hundred fifty-three".