1024440132100 has 144 divisors (see below), whose sum is σ = 2798486885376. Its totient is φ = 316205712000.

The previous prime is 1024440132083. The next prime is 1024440132109. The reversal of 1024440132100 is 12310444201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1024440132109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147255 + ... + 1438945.

It is an arithmetic number, because the mean of its divisors is an integer number (19433936704).

Almost surely, 2^{1024440132100} is an apocalyptic number.

1024440132100 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 1024440132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399243442688).

1024440132100 is an abundant number, since it is smaller than the sum of its proper divisors (1774046753276).

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

1024440132100 is a wasteful number, since it uses less digits than its factorization.

1024440132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291826 (or 1291819 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1024440132100 its reverse (12310444201), we get a palindrome (1036750576301).

The spelling of 1024440132100 in words is "one trillion, twenty-four billion, four hundred forty million, one hundred thirty-two thousand, one hundred".