1009435547472 has 160 divisors (see below), whose sum is σ = 3143074544640. Its totient is φ = 275378780160.

The previous prime is 1009435547459. The next prime is 1009435547473. The reversal of 1009435547472 is 2747455349001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009435547473) 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 31 ways as a sum of consecutive naturals, for example, 2238322 + ... + 2651217.

It is an arithmetic number, because the mean of its divisors is an integer number (19644215904).

Almost surely, 2^{1009435547472} is an apocalyptic number.

1009435547472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009435547472 is an abundant number, since it is smaller than the sum of its proper divisors (2133638997168).

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

1009435547472 is a wasteful number, since it uses less digits than its factorization.

1009435547472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889601 (or 4889595 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 1009435547472 in words is "one trillion, nine billion, four hundred thirty-five million, five hundred forty-seven thousand, four hundred seventy-two".