1009109942400 has 576 divisors, whose sum is σ = 4009122060480. Its totient is φ = 218508779520.

The previous prime is 1009109942377. The next prime is 1009109942413. The reversal of 1009109942400 is 42499019001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24238402 + ... + 24279998.

It is an arithmetic number, because the mean of its divisors is an integer number (6960281355).

Almost surely, 2^{1009109942400} is an apocalyptic number.

1009109942400 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 1009109942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004561030240).

1009109942400 is an abundant number, since it is smaller than the sum of its proper divisors (3000012118080).

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

1009109942400 is a wasteful number, since it uses less digits than its factorization.

1009109942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41669 (or 41633 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 1009109942400 in words is "one trillion, nine billion, one hundred nine million, nine hundred forty-two thousand, four hundred".