402434132096 has 64 divisors (see below), whose sum is σ = 817502592600. Its totient is φ = 197263073280.

The previous prime is 402434132063. The next prime is 402434132101. The reversal of 402434132096 is 690231434204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 384548814400 + 17885317696 = 620120^2 + 133736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8721566 + ... + 8767586.

Almost surely, 2^402434132096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402434132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408751296300).

402434132096 is an abundant number, since it is smaller than the sum of its proper divisors (415068460504).

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

402434132096 is a wasteful number, since it uses less digits than its factorization.

402434132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47377 (or 47365 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 402434132096 in words is "four hundred two billion, four hundred thirty-four million, one hundred thirty-two thousand, ninety-six".