1144093040640 has 2240 divisors, whose sum is σ = 4932703733760. Its totient is φ = 250698792960.

The previous prime is 1144093040581. The next prime is 1144093040653. The reversal of 1144093040640 is 460403904411.

It is a happy number.

1144093040640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 9 + 3 + 0 + 4 + 0 + 640 = 666.

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 = 1144093040595 and 1144093040604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24342405097 + ... + 24342405143.

Almost surely, 2^{1144093040640} is an apocalyptic number.

1144093040640 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 1144093040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466351866880).

1144093040640 is an abundant number, since it is smaller than the sum of its proper divisors (3788610693120).

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

1144093040640 is a wasteful number, since it uses less digits than its factorization.

1144093040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1144093040640 in words is "one trillion, one hundred forty-four billion, ninety-three million, forty thousand, six hundred forty".