1004245482240 has 3888 divisors, whose sum is σ = 5104238781600. Its totient is φ = 185980354560.

The previous prime is 1004245482139. The next prime is 1004245482241. The reversal of 1004245482240 is 422845424001.

1004245482240 is a `hidden beast` number, since 1 + 0 + 0 + 424 + 5 + 4 + 8 + 224 + 0 = 666.

1004245482240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1004245482195 and 1004245482204.

It is not an unprimeable number, because it can be changed into a prime (1004245482241) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34629154546 + ... + 34629154574.

Almost surely, 2^{1004245482240} is an apocalyptic number.

1004245482240 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 1004245482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552119390800).

1004245482240 is an abundant number, since it is smaller than the sum of its proper divisors (4099993299360).

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

1004245482240 is a wasteful number, since it uses less digits than its factorization.

1004245482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 1004245482240 in words is "one trillion, four billion, two hundred forty-five million, four hundred eighty-two thousand, two hundred forty".