402084078201 has 81 divisors (see below), whose sum is σ = 640680931917. Its totient is φ = 242886047040.

The previous prime is 402084078199. The next prime is 402084078257. The reversal of 402084078201 is 102870480204.

The square root of 402084078201 is 634101.

It is a perfect power (a square), and thus also a powerful number.

402084078201 is a `hidden beast` number, since 40 + 2 + 0 + 8 + 407 + 8 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6724820025 + 395359258176 = 82005^2 + 628776^2 .

It is not a de Polignac number, because 402084078201 - 2¹ = 402084078199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402084078301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1755825555 + ... + 1755825783.

Almost surely, 2^402084078201 is an apocalyptic number.

402084078201 is the 634101-st square number.

402084078201 is the 317051-st centered octagonal number.

It is an amenable number.

402084078201 is a deficient number, since it is larger than the sum of its proper divisors (238596853716).

402084078201 is an equidigital number, since it uses as much as digits as its factorization.

402084078201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 402084078201 by its sum of digits (36), we get a square (14475026815236 = 3804606²).

The spelling of 402084078201 in words is "four hundred two billion, eighty-four million, seventy-eight thousand, two hundred one".