1004144245520 has 320 divisors, whose sum is σ = 2745238293504. Its totient is φ = 338216386560.

The previous prime is 1004144245519. The next prime is 1004144245523. The reversal of 1004144245520 is 255424414001.

1004144245520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1004144245523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77767865 + ... + 77780775.

Almost surely, 2^{1004144245520} is an apocalyptic number.

1004144245520 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 1004144245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372619146752).

1004144245520 is an abundant number, since it is smaller than the sum of its proper divisors (1741094047984).

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

1004144245520 is a wasteful number, since it uses less digits than its factorization.

1004144245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 1004144245520 its reverse (255424414001), we get a palindrome (1259568659521).

The spelling of 1004144245520 in words is "one trillion, four billion, one hundred forty-four million, two hundred forty-five thousand, five hundred twenty".