1008604822400 has 192 divisors, whose sum is σ = 2854141608960. Its totient is φ = 345001728000.

The previous prime is 1008604822399. The next prime is 1008604822417. The reversal of 1008604822400 is 42284068001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9602165 + ... + 9706635.

It is an arithmetic number, because the mean of its divisors is an integer number (14865320880).

Almost surely, 2^{1008604822400} is an apocalyptic number.

1008604822400 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 1008604822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427070804480).

1008604822400 is an abundant number, since it is smaller than the sum of its proper divisors (1845536786560).

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

1008604822400 is a wasteful number, since it uses less digits than its factorization.

1008604822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104933 (or 104916 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 1008604822400 in words is "one trillion, eight billion, six hundred four million, eight hundred twenty-two thousand, four hundred".