402303444400 has 240 divisors, whose sum is σ = 1140504190560. Its totient is φ = 134444851200.

The previous prime is 402303444343. The next prime is 402303444409. The reversal of 402303444400 is 4444303204.

It is a super-2 number, since 2×402303444400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402303444409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13083444 + ... + 13114156.

It is an arithmetic number, because the mean of its divisors is an integer number (4752100794).

Almost surely, 2^402303444400 is an apocalyptic number.

402303444400 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 402303444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570252095280).

402303444400 is an abundant number, since it is smaller than the sum of its proper divisors (738200746160).

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

402303444400 is a wasteful number, since it uses less digits than its factorization.

402303444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984 (or 30973 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 402303444400 its reverse (4444303204), we get a palindrome (406747747604).

The spelling of 402303444400 in words is "four hundred two billion, three hundred three million, four hundred forty-four thousand, four hundred".