1102241431424 has 128 divisors (see below), whose sum is σ = 2523022387200. Its totient is φ = 469860378624.

The previous prime is 1102241431393. The next prime is 1102241431429. The reversal of 1102241431424 is 4241341422011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102241431429) 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, 375038147 + ... + 375041085.

It is an arithmetic number, because the mean of its divisors is an integer number (19711112400).

Almost surely, 2^{1102241431424} is an apocalyptic number.

1102241431424 is a gapful number since it is divisible by the number (14) 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 1102241431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261511193600).

1102241431424 is an abundant number, since it is smaller than the sum of its proper divisors (1420780955776).

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

1102241431424 is a wasteful number, since it uses less digits than its factorization.

1102241431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1102241431424 its reverse (4241341422011), we get a palindrome (5343582853435).

The spelling of 1102241431424 in words is "one trillion, one hundred two billion, two hundred forty-one million, four hundred thirty-one thousand, four hundred twenty-four".