10402821000 has 768 divisors, whose sum is σ = 42315436800. Its totient is φ = 2271744000.

The previous prime is 10402820977. The next prime is 10402821017. The reversal of 10402821000 is 12820401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75932932 + ... + 75933068.

It is an arithmetic number, because the mean of its divisors is an integer number (55098225).

Almost surely, 2^10402821000 is an apocalyptic number.

10402821000 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 10402821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157718400).

10402821000 is an abundant number, since it is smaller than the sum of its proper divisors (31912615800).

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

10402821000 is a wasteful number, since it uses less digits than its factorization.

10402821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

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

The spelling of 10402821000 in words is "ten billion, four hundred two million, eight hundred twenty-one thousand".