402212401002 has 48 divisors (see below), whose sum is σ = 902405205000. Its totient is φ = 129319206912.

The previous prime is 402212400977. The next prime is 402212401007. The reversal of 402212401002 is 200104212204.

402212401002 is a `hidden beast` number, since 40 + 221 + 2 + 401 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258276387681 + 143936013321 = 508209^2 + 379389^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402212401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144874 + ... + 908522.

Almost surely, 2^402212401002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402212401002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451202602500).

402212401002 is an abundant number, since it is smaller than the sum of its proper divisors (500192803998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402212401002 is a wasteful number, since it uses less digits than its factorization.

402212401002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764695 (or 764692 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 402212401002 its reverse (200104212204), we get a palindrome (602316613206).

The spelling of 402212401002 in words is "four hundred two billion, two hundred twelve million, four hundred one thousand, two".