401727722501853 has 192 divisors, whose sum is σ = 684945160833024. Its totient is φ = 224185176576000.

The previous prime is 401727722501851. The next prime is 401727722501881. The reversal of 401727722501853 is 358105227727104.

401727722501853 is a `hidden beast` number, since 4 + 0 + 17 + 2 + 7 + 72 + 2 + 501 + 8 + 53 = 666.

It is not a de Polignac number, because 401727722501853 - 2¹ = 401727722501851 is a prime.

It is a super-2 number, since 2×401727722501853² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 401727722501853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401727722501851) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65631057633 + ... + 65631063753.

It is an arithmetic number, because the mean of its divisors is an integer number (3567422712672).

Almost surely, 2^{401727722501853} is an apocalyptic number.

It is an amenable number.

401727722501853 is a deficient number, since it is larger than the sum of its proper divisors (283217438331171).

401727722501853 is a wasteful number, since it uses less digits than its factorization.

401727722501853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 401727722501853 in words is "four hundred one trillion, seven hundred twenty-seven billion, seven hundred twenty-two million, five hundred one thousand, eight hundred fifty-three".