1249165440 has 192 divisors, whose sum is σ = 4567619160. Its totient is φ = 313491456.

The previous prime is 1249165439. The next prime is 1249165441. The reversal of 1249165440 is 445619421.

1249165440 is a `hidden beast` number, since 1 + 24 + 91 + 6 + 544 + 0 = 666.

1249165440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1249165439) and next prime (1249165441).

It can be written as a sum of positive squares in 4 ways, for example, as 1156544064 + 92621376 = 34008^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1249165395 and 1249165404.

It is not an unprimeable number, because it can be changed into a prime (1249165441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91542 + ... + 104298.

Almost surely, 2^1249165440 is an apocalyptic number.

1249165440 is a gapful number since it is divisible by the number (10) 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 1249165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283809580).

1249165440 is an abundant number, since it is smaller than the sum of its proper divisors (3318453720).

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

1249165440 is a wasteful number, since it uses less digits than its factorization.

1249165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799 (or 12784 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1249165440 is about 35343.5346279910. The cubic root of 1249165440 is about 1076.9775576415.

The spelling of 1249165440 in words is "one billion, two hundred forty-nine million, one hundred sixty-five thousand, four hundred forty".