402222400434 has 128 divisors (see below), whose sum is σ = 980996832000. Its totient is φ = 121592669184.

The previous prime is 402222400429. The next prime is 402222400469. The reversal of 402222400434 is 434004222204.

402222400434 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 224 + 0 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 402222400398 and 402222400407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13535757 + ... + 13565439.

It is an arithmetic number, because the mean of its divisors is an integer number (7664037750).

Almost surely, 2^402222400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402222400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490498416000).

402222400434 is an abundant number, since it is smaller than the sum of its proper divisors (578774431566).

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

402222400434 is a wasteful number, since it uses less digits than its factorization.

402222400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30249 (or 30243 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 402222400434 its reverse (434004222204), we get a palindrome (836226622638).

The spelling of 402222400434 in words is "four hundred two billion, two hundred twenty-two million, four hundred thousand, four hundred thirty-four".