1240032133344 has 96 divisors (see below), whose sum is σ = 3373795787040. Its totient is φ = 398324326400.

The previous prime is 1240032133343. The next prime is 1240032133367. The reversal of 1240032133344 is 4433312300421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240032133343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023004 + ... + 1877924.

It is an arithmetic number, because the mean of its divisors is an integer number (35143706115).

Almost surely, 2^{1240032133344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240032133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686897893520).

1240032133344 is an abundant number, since it is smaller than the sum of its proper divisors (2133763653696).

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

1240032133344 is a wasteful number, since it uses less digits than its factorization.

1240032133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855484 (or 855476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1240032133344 its reverse (4433312300421), we get a palindrome (5673344433765).

The spelling of 1240032133344 in words is "one trillion, two hundred forty billion, thirty-two million, one hundred thirty-three thousand, three hundred forty-four".