1004542413000 has 256 divisors, whose sum is σ = 3585078282240. Its totient is φ = 229406688000.

The previous prime is 1004542412989. The next prime is 1004542413011. The reversal of 1004542413000 is 3142454001.

It is an interprime number because it is at equal distance from previous prime (1004542412989) and next prime (1004542413011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24402435 + ... + 24443565.

It is an arithmetic number, because the mean of its divisors is an integer number (14004212040).

Almost surely, 2^{1004542413000} is an apocalyptic number.

1004542413000 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 1004542413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792539141120).

1004542413000 is an abundant number, since it is smaller than the sum of its proper divisors (2580535869240).

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

1004542413000 is a wasteful number, since it uses less digits than its factorization.

1004542413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42325 (or 42311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1004542413000 its reverse (3142454001), we get a palindrome (1007684867001).

The spelling of 1004542413000 in words is "one trillion, four billion, five hundred forty-two million, four hundred thirteen thousand".