249576131340 has 192 divisors, whose sum is σ = 817887974400. Its totient is φ = 63007414272.

The previous prime is 249576131333. The next prime is 249576131341. The reversal of 249576131340 is 43131675942.

249576131340 is a `hidden beast` number, since 2 + 4 + 9 + 576 + 1 + 31 + 3 + 40 = 666.

249576131340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (249576131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16480252 + ... + 16495388.

It is an arithmetic number, because the mean of its divisors is an integer number (4259833200).

Almost surely, 2^249576131340 is an apocalyptic number.

249576131340 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 249576131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408943987200).

249576131340 is an abundant number, since it is smaller than the sum of its proper divisors (568311843060).

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

249576131340 is a wasteful number, since it uses less digits than its factorization.

249576131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16781 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 249576131340 in words is "two hundred forty-nine billion, five hundred seventy-six million, one hundred thirty-one thousand, three hundred forty".