402241102103200 has 288 divisors, whose sum is σ = 998637678816624. Its totient is φ = 158189947453440.

The previous prime is 402241102103083. The next prime is 402241102103201. The reversal of 402241102103200 is 2301201142204.

It can be written as a sum of positive squares in 24 ways, for example, as 156312692496 + 402084789410704 = 395364^2 + 20052052^2 .

It is not an unprimeable number, because it can be changed into a prime (402241102103201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288266052 + ... + 10288305148.

Almost surely, 2^{402241102103200} is an apocalyptic number.

402241102103200 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 402241102103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499318839408312).

402241102103200 is an abundant number, since it is smaller than the sum of its proper divisors (596396576713424).

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

402241102103200 is a wasteful number, since it uses less digits than its factorization.

402241102103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40084 (or 40071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 402241102103200 its reverse (2301201142204), we get a palindrome (404542303245404).

The spelling of 402241102103200 in words is "four hundred two trillion, two hundred forty-one billion, one hundred two million, one hundred three thousand, two hundred".