1009290743280 has 160 divisors (see below), whose sum is σ = 3477206016000. Its totient is φ = 269085351168.

The previous prime is 1009290743261. The next prime is 1009290743297. The reversal of 1009290743280 is 823470929001.

1009290743280 is a `hidden beast` number, since 10 + 0 + 9 + 290 + 74 + 3 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10317157 + ... + 10414523.

It is an arithmetic number, because the mean of its divisors is an integer number (21732537600).

Almost surely, 2^{1009290743280} is an apocalyptic number.

1009290743280 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 1009290743280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738603008000).

1009290743280 is an abundant number, since it is smaller than the sum of its proper divisors (2467915272720).

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

1009290743280 is a wasteful number, since it uses less digits than its factorization.

1009290743280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102188 (or 102176 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1009290743280 in words is "one trillion, nine billion, two hundred ninety million, seven hundred forty-three thousand, two hundred eighty".