401165145 has 48 divisors (see below), whose sum is σ = 740900160. Its totient is φ = 200216448.

The previous prime is 401165129. The next prime is 401165147. The reversal of 401165145 is 541561104.

401165145 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 651 + 4 + 5 = 666.

It is not a de Polignac number, because 401165145 - 2⁴ = 401165129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401165147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68139 + ... + 73791.

It is an arithmetic number, because the mean of its divisors is an integer number (15435420).

Almost surely, 2^401165145 is an apocalyptic number.

401165145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401165145 is a deficient number, since it is larger than the sum of its proper divisors (339735015).

401165145 is a wasteful number, since it uses less digits than its factorization.

401165145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 401165145 is about 20029.1074439177. The cubic root of 401165145 is about 737.5210113711.

The spelling of 401165145 in words is "four hundred one million, one hundred sixty-five thousand, one hundred forty-five".