1144330532640 has 480 divisors, whose sum is σ = 4078043988480. Its totient is φ = 302181580800.

The previous prime is 1144330532617. The next prime is 1144330532671. The reversal of 1144330532640 is 462350334411.

1144330532640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 3 + 0 + 5 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1144330532640² (a number of 25 digits) contains 22 as substring.

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 = 1144330532595 and 1144330532604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1154722545 + ... + 1154723535.

It is an arithmetic number, because the mean of its divisors is an integer number (8495924976).

Almost surely, 2^{1144330532640} is an apocalyptic number.

1144330532640 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 1144330532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039021994240).

1144330532640 is an abundant number, since it is smaller than the sum of its proper divisors (2933713455840).

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

1144330532640 is a wasteful number, since it uses less digits than its factorization.

1144330532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1144330532640 in words is "one trillion, one hundred forty-four billion, three hundred thirty million, five hundred thirty-two thousand, six hundred forty".