1009478880000 has 540 divisors, whose sum is σ = 3647707703640. Its totient is φ = 268406784000.

The previous prime is 1009478879971. The next prime is 1009478880023. The reversal of 1009478880000 is 888749001.

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 59 ways as a sum of consecutive naturals, for example, 623519191 + ... + 623520809.

It is an arithmetic number, because the mean of its divisors is an integer number (6755014266).

Almost surely, 2^{1009478880000} is an apocalyptic number.

1009478880000 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 1009478880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823853851820).

1009478880000 is an abundant number, since it is smaller than the sum of its proper divisors (2638228823640).

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

1009478880000 is an equidigital number, since it uses as much as digits as its factorization.

1009478880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1009478880000 in words is "one trillion, nine billion, four hundred seventy-eight million, eight hundred eighty thousand".