1004282521632 has 432 divisors, whose sum is σ = 3144251597760. Its totient is φ = 303885084672.

The previous prime is 1004282521607. The next prime is 1004282521643. The reversal of 1004282521632 is 2361252824001.

1004282521632 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 8 + 2 + 5 + 2 + 1 + 632 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 817153594 + ... + 817154822.

It is an arithmetic number, because the mean of its divisors is an integer number (7278360180).

Almost surely, 2^{1004282521632} is an apocalyptic number.

1004282521632 is a gapful number since it is divisible by the number (12) 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 1004282521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572125798880).

1004282521632 is an abundant number, since it is smaller than the sum of its proper divisors (2139969076128).

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

1004282521632 is a wasteful number, since it uses less digits than its factorization.

1004282521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1004282521632 in words is "one trillion, four billion, two hundred eighty-two million, five hundred twenty-one thousand, six hundred thirty-two".