401322516772311 has 32 divisors (see below), whose sum is σ = 620403711889920. Its totient is φ = 255915084439872.

The previous prime is 401322516772301. The next prime is 401322516772313. The reversal of 401322516772311 is 113277615223104.

401322516772311 is a `hidden beast` number, since 4 + 0 + 1 + 32 + 2 + 516 + 7 + 72 + 31 + 1 = 666.

It is not a de Polignac number, because 401322516772311 - 2⁵ = 401322516772279 is a prime.

It is a super-2 number, since 2×401322516772311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401322516772313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297302880 + ... + 298649706.

It is an arithmetic number, because the mean of its divisors is an integer number (19387615996560).

Almost surely, 2^{401322516772311} is an apocalyptic number.

401322516772311 is a deficient number, since it is larger than the sum of its proper divisors (219081195117609).

401322516772311 is a wasteful number, since it uses less digits than its factorization.

401322516772311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826692 (or 1826686 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 401322516772311 in words is "four hundred one trillion, three hundred twenty-two billion, five hundred sixteen million, seven hundred seventy-two thousand, three hundred eleven".