1004821651680 has 1152 divisors, whose sum is σ = 4127184907776. Its totient is φ = 203135385600.

The previous prime is 1004821651679. The next prime is 1004821651681. The reversal of 1004821651680 is 861561284001.

It is an interprime number because it is at equal distance from previous prime (1004821651679) and next prime (1004821651681).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004821651681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1567584160 + ... + 1567584800.

It is an arithmetic number, because the mean of its divisors is an integer number (3582625788).

Almost surely, 2^{1004821651680} is an apocalyptic number.

1004821651680 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 1004821651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063592453888).

1004821651680 is an abundant number, since it is smaller than the sum of its proper divisors (3122363256096).

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

1004821651680 is a wasteful number, since it uses less digits than its factorization.

1004821651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 1004821651680 in words is "one trillion, four billion, eight hundred twenty-one million, six hundred fifty-one thousand, six hundred eighty".