249396040960 has 144 divisors (see below), whose sum is σ = 654176476800. Its totient is φ = 90343301120.

The previous prime is 249396040931. The next prime is 249396040997. The reversal of 249396040960 is 69040693942.

It is a junction number, because it is equal to n+sod(n) for n = 249396040898 and 249396040907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3669366 + ... + 3736714.

It is an arithmetic number, because the mean of its divisors is an integer number (4542892200).

Almost surely, 2^249396040960 is an apocalyptic number.

249396040960 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 249396040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327088238400).

249396040960 is an abundant number, since it is smaller than the sum of its proper divisors (404780435840).

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

249396040960 is a wasteful number, since it uses less digits than its factorization.

249396040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67644 (or 67630 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 249396040960 in words is "two hundred forty-nine billion, three hundred ninety-six million, forty thousand, nine hundred sixty".