249376112640 has 1280 divisors, whose sum is σ = 1004856019200. Its totient is φ = 58859716608.

The previous prime is 249376112561. The next prime is 249376112647. The reversal of 249376112640 is 46211673942.

249376112640 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 7 + 611 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×249376112640³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249376112647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5799444459 + ... + 5799444501.

It is an arithmetic number, because the mean of its divisors is an integer number (785043765).

Almost surely, 2^249376112640 is an apocalyptic number.

249376112640 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 249376112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502428009600).

249376112640 is an abundant number, since it is smaller than the sum of its proper divisors (755479906560).

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

249376112640 is an equidigital number, since it uses as much as digits as its factorization.

249376112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 249376112640 in words is "two hundred forty-nine billion, three hundred seventy-six million, one hundred twelve thousand, six hundred forty".