4000102821000 has 1152 divisors, whose sum is σ = 16379065422720. Its totient is φ = 874177920000.

The previous prime is 4000102820983. The next prime is 4000102821079. The reversal of 4000102821000 is 1282010004.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 608747715 + ... + 608754285.

It is an arithmetic number, because the mean of its divisors is an integer number (14217938735).

Almost surely, 2^{4000102821000} is an apocalyptic number.

4000102821000 is a gapful number since it is divisible by the number (40) 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 4000102821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189532711360).

4000102821000 is an abundant number, since it is smaller than the sum of its proper divisors (12378962601720).

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

4000102821000 is a wasteful number, since it uses less digits than its factorization.

4000102821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4000102821000 its reverse (1282010004), we get a palindrome (4001384831004).

The spelling of 4000102821000 in words is "four trillion, one hundred two million, eight hundred twenty-one thousand".