1144765440 has 792 divisors, whose sum is σ = 5124541680. Its totient is φ = 241532928.

The previous prime is 1144765439. The next prime is 1144765441. The reversal of 1144765440 is 445674411.

It is a happy number.

1144765440 is a `hidden beast` number, since 1 + 1 + 44 + 76 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1144765439) and next prime (1144765441).

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 = 1144765395 and 1144765404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144765441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88058874 + ... + 88058886.

Almost surely, 2^1144765440 is an apocalyptic number.

1144765440 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 1144765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562270840).

1144765440 is an abundant number, since it is smaller than the sum of its proper divisors (3979776240).

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

1144765440 is a wasteful number, since it uses less digits than its factorization.

1144765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1144765440 is about 33834.3825124680. The cubic root of 1144765440 is about 1046.0975137798.

The spelling of 1144765440 in words is "one billion, one hundred forty-four million, seven hundred sixty-five thousand, four hundred forty".