1024404513132 has 192 divisors, whose sum is σ = 3210028416000. Its totient is φ = 245557509120.

The previous prime is 1024404513101. The next prime is 1024404513137. The reversal of 1024404513132 is 2313154044201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024404513132.

It is not an unprimeable number, because it can be changed into a prime (1024404513137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93555994 + ... + 93566942.

It is an arithmetic number, because the mean of its divisors is an integer number (16718898000).

Almost surely, 2^{1024404513132} is an apocalyptic number.

1024404513132 is a gapful number since it is divisible by the number (12) 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 1024404513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605014208000).

1024404513132 is an abundant number, since it is smaller than the sum of its proper divisors (2185623902868).

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

1024404513132 is a wasteful number, since it uses less digits than its factorization.

1024404513132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18776 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1024404513132 its reverse (2313154044201), we get a palindrome (3337558557333).

The spelling of 1024404513132 in words is "one trillion, twenty-four billion, four hundred four million, five hundred thirteen thousand, one hundred thirty-two".