10402441021200 has 360 divisors, whose sum is σ = 36011725334208. Its totient is φ = 2561874810880.

The previous prime is 10402441021187. The next prime is 10402441021201. The reversal of 10402441021200 is 212014420401.

It is not an unprimeable number, because it can be changed into a prime (10402441021201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22987522 + ... + 23435678.

Almost surely, 2^{10402441021200} is an apocalyptic number.

10402441021200 is a gapful number since it is divisible by the number (10) 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 10402441021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005862667104).

10402441021200 is an abundant number, since it is smaller than the sum of its proper divisors (25609284313008).

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

10402441021200 is a wasteful number, since it uses less digits than its factorization.

10402441021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448259 (or 448219 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10402441021200 its reverse (212014420401), we get a palindrome (10614455441601).

The spelling of 10402441021200 in words is "ten trillion, four hundred two billion, four hundred forty-one million, twenty-one thousand, two hundred".