402214342400 has 432 divisors, whose sum is σ = 1141692552000. Its totient is φ = 138974330880.

The previous prime is 402214342399. The next prime is 402214342459. The reversal of 402214342400 is 4243412204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 402214342400.

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, 281464886 + ... + 281466314.

Almost surely, 2^402214342400 is an apocalyptic number.

402214342400 is a gapful number since it is divisible by the number (40) 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 402214342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570846276000).

402214342400 is an abundant number, since it is smaller than the sum of its proper divisors (739478209600).

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

402214342400 is a wasteful number, since it uses less digits than its factorization.

402214342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 402214342400 its reverse (4243412204), we get a palindrome (406457754604).

The spelling of 402214342400 in words is "four hundred two billion, two hundred fourteen million, three hundred forty-two thousand, four hundred".