249989000040 has 384 divisors, whose sum is σ = 883340640000. Its totient is φ = 60949463040.

The previous prime is 249989000039. The next prime is 249989000047. The reversal of 249989000040 is 40000989942.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 249989000040.

It is not an unprimeable number, because it can be changed into a prime (249989000047) 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 95 ways as a sum of consecutive naturals, for example, 389998120 + ... + 389998760.

It is an arithmetic number, because the mean of its divisors is an integer number (2300366250).

Almost surely, 2^249989000040 is an apocalyptic number.

249989000040 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 249989000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441670320000).

249989000040 is an abundant number, since it is smaller than the sum of its proper divisors (633351639960).

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

249989000040 is a wasteful number, since it uses less digits than its factorization.

249989000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 249989000040 its reverse (40000989942), we get a palindrome (289989989982).

The spelling of 249989000040 in words is "two hundred forty-nine billion, nine hundred eighty-nine million, forty", and thus it is an aban number.