1004008544896 has 192 divisors, whose sum is σ = 2413269538560. Its totient is φ = 414418636800.

The previous prime is 1004008544857. The next prime is 1004008544899. The reversal of 1004008544896 is 6984458004001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1004008544899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41012916 + ... + 41037388.

It is an arithmetic number, because the mean of its divisors is an integer number (12569112180).

Almost surely, 2^{1004008544896} is an apocalyptic number.

1004008544896 is a gapful number since it is divisible by the number (16) 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 1004008544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206634769280).

1004008544896 is an abundant number, since it is smaller than the sum of its proper divisors (1409260993664).

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

1004008544896 is a wasteful number, since it uses less digits than its factorization.

1004008544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24743 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 1004008544896 in words is "one trillion, four billion, eight million, five hundred forty-four thousand, eight hundred ninety-six".