1009813044240 has 2560 divisors, whose sum is σ = 5030078054400. Its totient is φ = 179248619520.

The previous prime is 1009813044211. The next prime is 1009813044277. The reversal of 1009813044240 is 424403189001.

It is a happy number.

1009813044240 is a `hidden beast` number, since 10 + 0 + 98 + 130 + 4 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1009813044195 and 1009813044204.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1930808619 + ... + 1930809141.

It is an arithmetic number, because the mean of its divisors is an integer number (1964874240).

Almost surely, 2^{1009813044240} is an apocalyptic number.

1009813044240 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 1009813044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515039027200).

1009813044240 is an abundant number, since it is smaller than the sum of its proper divisors (4020265010160).

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

1009813044240 is a wasteful number, since it uses less digits than its factorization.

1009813044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1009813044240 in words is "one trillion, nine billion, eight hundred thirteen million, forty-four thousand, two hundred forty".