245401410245200 has 480 divisors, whose sum is σ = 684134715432960. Its totient is φ = 83715322521600.

The previous prime is 245401410245161. The next prime is 245401410245207. The reversal of 245401410245200 is 2542014104542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245401410245207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1552632577 + ... + 1552790623.

It is an arithmetic number, because the mean of its divisors is an integer number (1425280657152).

Almost surely, 2^{245401410245200} is an apocalyptic number.

245401410245200 is a gapful number since it is divisible by the number (20) 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 245401410245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342067357716480).

245401410245200 is an abundant number, since it is smaller than the sum of its proper divisors (438733305187760).

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

245401410245200 is a wasteful number, since it uses less digits than its factorization.

245401410245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158395 (or 158384 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 245401410245200 its reverse (2542014104542), we get a palindrome (247943424349742).

The spelling of 245401410245200 in words is "two hundred forty-five trillion, four hundred one billion, four hundred ten million, two hundred forty-five thousand, two hundred".