249440412816 has 320 divisors, whose sum is σ = 827269273600. Its totient is φ = 70489004544.

The previous prime is 249440412791. The next prime is 249440412817. The reversal of 249440412816 is 618214044942.

249440412816 is a `hidden beast` number, since 2 + 494 + 40 + 41 + 2 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (249440412817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129042186 + ... + 129044118.

It is an arithmetic number, because the mean of its divisors is an integer number (2585216480).

Almost surely, 2^249440412816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249440412816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413634636800).

249440412816 is an abundant number, since it is smaller than the sum of its proper divisors (577828860784).

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

249440412816 is a wasteful number, since it uses less digits than its factorization.

249440412816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 249440412816 in words is "two hundred forty-nine billion, four hundred forty million, four hundred twelve thousand, eight hundred sixteen".