1009969218000 has 480 divisors, whose sum is σ = 3740116902912. Its totient is φ = 253134336000.

The previous prime is 1009969217947. The next prime is 1009969218031. The reversal of 1009969218000 is 8129699001.

1009969218000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 278764189 + ... + 278767811.

Almost surely, 2^{1009969218000} is an apocalyptic number.

1009969218000 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 1009969218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870058451456).

1009969218000 is an abundant number, since it is smaller than the sum of its proper divisors (2730147684912).

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

1009969218000 is a wasteful number, since it uses less digits than its factorization.

1009969218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 1009969218000 in words is "one trillion, nine billion, nine hundred sixty-nine million, two hundred eighteen thousand".