402434431224 has 192 divisors, whose sum is σ = 1188284061600. Its totient is φ = 113231978496.

The previous prime is 402434431199. The next prime is 402434431261. The reversal of 402434431224 is 422134434204.

It is a super-2 number, since 2×402434431224² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20853772 + ... + 20873060.

Almost surely, 2^402434431224 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 402434431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594142030800).

402434431224 is an abundant number, since it is smaller than the sum of its proper divisors (785849630376).

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

402434431224 is a wasteful number, since it uses less digits than its factorization.

402434431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19582 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 402434431224 its reverse (422134434204), we get a palindrome (824568865428).

The spelling of 402434431224 in words is "four hundred two billion, four hundred thirty-four million, four hundred thirty-one thousand, two hundred twenty-four".