1004135253240 has 256 divisors, whose sum is σ = 3565378944000. Its totient is φ = 221358735360.

The previous prime is 1004135253221. The next prime is 1004135253259. The reversal of 1004135253240 is 423525314001.

It is an interprime number because it is at equal distance from previous prime (1004135253221) and next prime (1004135253259).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004135253198 and 1004135253207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22608255 + ... + 22652625.

It is an arithmetic number, because the mean of its divisors is an integer number (13927261500).

Almost surely, 2^{1004135253240} is an apocalyptic number.

1004135253240 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 1004135253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782689472000).

1004135253240 is an abundant number, since it is smaller than the sum of its proper divisors (2561243690760).

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

1004135253240 is a wasteful number, since it uses less digits than its factorization.

1004135253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45350 (or 45346 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1004135253240 in words is "one trillion, four billion, one hundred thirty-five million, two hundred fifty-three thousand, two hundred forty".