402064101 has 32 divisors (see below), whose sum is σ = 606528000. Its totient is φ = 263188224.

The previous prime is 402064067. The next prime is 402064129. The reversal of 402064101 is 101460204.

402064101 is a `hidden beast` number, since 4 + 0 + 20 + 641 + 0 + 1 = 666.

It is not a de Polignac number, because 402064101 - 2⁶ = 402064037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402014101) 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 31 ways as a sum of consecutive naturals, for example, 496585 + ... + 497393.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^402064101 is an apocalyptic number.

It is an amenable number.

402064101 is a deficient number, since it is larger than the sum of its proper divisors (204463899).

402064101 is a wasteful number, since it uses less digits than its factorization.

402064101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402064101 is about 20051.5361256937. The cubic root of 402064101 is about 738.0714948252.

It can be divided in two parts, 4020 and 64101, that added together give a square (68121 = 261²).

The spelling of 402064101 in words is "four hundred two million, sixty-four thousand, one hundred one".