245134245041400 has 768 divisors, whose sum is σ = 962677609689600. Its totient is φ = 50700570624000.

The previous prime is 245134245041351. The next prime is 245134245041401. The reversal of 245134245041400 is 4140542431542.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245134245041401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65004412 + ... + 68671988.

It is an arithmetic number, because the mean of its divisors is an integer number (1253486470950).

Almost surely, 2^{245134245041400} is an apocalyptic number.

245134245041400 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 245134245041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481338804844800).

245134245041400 is an abundant number, since it is smaller than the sum of its proper divisors (717543364648200).

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

245134245041400 is a wasteful number, since it uses less digits than its factorization.

245134245041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667680 (or 3667671 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 245134245041400 its reverse (4140542431542), we get a palindrome (249274787472942).

The spelling of 245134245041400 in words is "two hundred forty-five trillion, one hundred thirty-four billion, two hundred forty-five million, forty-one thousand, four hundred".