402434123344 has 80 divisors (see below), whose sum is σ = 882385488000. Its totient is φ = 176124085760.

The previous prime is 402434123341. The next prime is 402434123369. The reversal of 402434123344 is 443321434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402434123341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722522 + ... + 1942150.

It is an arithmetic number, because the mean of its divisors is an integer number (11029818600).

Almost surely, 2^402434123344 is an apocalyptic number.

402434123344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402434123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441192744000).

402434123344 is an abundant number, since it is smaller than the sum of its proper divisors (479951364656).

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

402434123344 is a wasteful number, since it uses less digits than its factorization.

402434123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220036 (or 220030 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 402434123344 its reverse (443321434204), we get a palindrome (845755557548).

The spelling of 402434123344 in words is "four hundred two billion, four hundred thirty-four million, one hundred twenty-three thousand, three hundred forty-four".