1144736640 has 192 divisors, whose sum is σ = 3971157840. Its totient is φ = 303857664.

The previous prime is 1144736629. The next prime is 1144736729. The reversal of 1144736640 is 466374411.

1144736640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 3 + 6 + 640 = 666.

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 = 1144736595 and 1144736604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2032999 + ... + 2033561.

Almost surely, 2^1144736640 is an apocalyptic number.

1144736640 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 1144736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985578920).

1144736640 is an abundant number, since it is smaller than the sum of its proper divisors (2826421200).

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

1144736640 is a wasteful number, since it uses less digits than its factorization.

1144736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1144736640 is about 33833.9569072256. The cubic root of 1144736640 is about 1046.0887411352.

The spelling of 1144736640 in words is "one billion, one hundred forty-four million, seven hundred thirty-six thousand, six hundred forty".