1009715201440 has 48 divisors (see below), whose sum is σ = 2602311455520. Its totient is φ = 367169163520.

The previous prime is 1009715201431. The next prime is 1009715201449. The reversal of 1009715201440 is 441025179001.

It is an interprime number because it is at equal distance from previous prime (1009715201431) and next prime (1009715201449).

It is a junction number, because it is equal to n+sod(n) for n = 1009715201396 and 1009715201405.

It is not an unprimeable number, because it can be changed into a prime (1009715201449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286849150 + ... + 286852669.

It is an arithmetic number, because the mean of its divisors is an integer number (54214821990).

Almost surely, 2^{1009715201440} is an apocalyptic number.

1009715201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009715201440 is an abundant number, since it is smaller than the sum of its proper divisors (1592596254080).

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

1009715201440 is a wasteful number, since it uses less digits than its factorization.

1009715201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573701845 (or 573701837 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 1009715201440 in words is "one trillion, nine billion, seven hundred fifteen million, two hundred one thousand, four hundred forty".