245140856400 has 240 divisors, whose sum is σ = 860969894400. Its totient is φ = 59128819200.

The previous prime is 245140856339. The next prime is 245140856413. The reversal of 245140856400 is 4658041542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2580139 + ... + 2673461.

It is an arithmetic number, because the mean of its divisors is an integer number (3587374560).

Almost surely, 2^245140856400 is an apocalyptic number.

245140856400 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 245140856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430484947200).

245140856400 is an abundant number, since it is smaller than the sum of its proper divisors (615829038000).

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

245140856400 is a wasteful number, since it uses less digits than its factorization.

245140856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93554 (or 93543 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 245140856400 its reverse (4658041542), we get a palindrome (249798897942).

The spelling of 245140856400 in words is "two hundred forty-five billion, one hundred forty million, eight hundred fifty-six thousand, four hundred".