1024909943148 has 480 divisors, whose sum is σ = 3483709017600. Its totient is φ = 258533928576.

The previous prime is 1024909943147. The next prime is 1024909943173. The reversal of 1024909943148 is 8413499094201.

1024909943148 is a `hidden beast` number, since 1 + 0 + 2 + 490 + 9 + 9 + 4 + 3 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1024909943094 and 1024909943103.

It is not an unprimeable number, because it can be changed into a prime (1024909943143) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 77526483 + ... + 77539701.

It is an arithmetic number, because the mean of its divisors is an integer number (7257727120).

Almost surely, 2^{1024909943148} is an apocalyptic number.

1024909943148 is a gapful number since it is divisible by the number (18) 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 1024909943148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741854508800).

1024909943148 is an abundant number, since it is smaller than the sum of its proper divisors (2458799074452).

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

1024909943148 is a wasteful number, since it uses less digits than its factorization.

1024909943148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1024909943148 in words is "one trillion, twenty-four billion, nine hundred nine million, nine hundred forty-three thousand, one hundred forty-eight".