402200032032 has 144 divisors (see below), whose sum is σ = 1175614752312. Its totient is φ = 130338201600.

The previous prime is 402200032007. The next prime is 402200032127. The reversal of 402200032032 is 230230002204.

402200032032 is a `hidden beast` number, since 402 + 200 + 0 + 32 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393535400976 + 8664631056 = 627324^2 + 93084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 402200031996 and 402200032014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13806282 + ... + 13835382.

Almost surely, 2^402200032032 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 402200032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587807376156).

402200032032 is an abundant number, since it is smaller than the sum of its proper divisors (773414720280).

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

402200032032 is a wasteful number, since it uses less digits than its factorization.

402200032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30451 (or 30440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 402200032032 its reverse (230230002204), we get a palindrome (632430034236).

The spelling of 402200032032 in words is "four hundred two billion, two hundred million, thirty-two thousand, thirty-two".