1009715604480 has 704 divisors, whose sum is σ = 3924187430400. Its totient is φ = 244178288640.

The previous prime is 1009715604467. The next prime is 1009715604523. The reversal of 1009715604480 is 844065179001.

1009715604480 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 1 + 560 + 4 + 4 + 80 = 666.

1009715604480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175454291 + ... + 1175455149.

Almost surely, 2^{1009715604480} is an apocalyptic number.

1009715604480 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 1009715604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962093715200).

1009715604480 is an abundant number, since it is smaller than the sum of its proper divisors (2914471825920).

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

1009715604480 is a wasteful number, since it uses less digits than its factorization.

1009715604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1009715604480 in words is "one trillion, nine billion, seven hundred fifteen million, six hundred four thousand, four hundred eighty".