245440540800 has 3072 divisors, whose sum is σ = 1223921664000. Its totient is φ = 46581350400.

The previous prime is 245440540789. The next prime is 245440540811. The reversal of 245440540800 is 8045044542.

245440540800 is a `hidden beast` number, since 24 + 54 + 40 + 540 + 8 + 0 + 0 = 666.

245440540800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245440540789) and next prime (245440540811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4630953574 + ... + 4630953626.

It is an arithmetic number, because the mean of its divisors is an integer number (398412000).

Almost surely, 2^245440540800 is an apocalyptic number.

245440540800 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 245440540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611960832000).

245440540800 is an abundant number, since it is smaller than the sum of its proper divisors (978481123200).

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

245440540800 is a wasteful number, since it uses less digits than its factorization.

245440540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 245440540800 in words is "two hundred forty-five billion, four hundred forty million, five hundred forty thousand, eight hundred".