10334302000400 has 240 divisors, whose sum is σ = 29947330867200. Its totient is φ = 3347842337280.

The previous prime is 10334302000387. The next prime is 10334302000411. The reversal of 10334302000400 is 400020343301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19906529 + ... + 20419071.

It is an arithmetic number, because the mean of its divisors is an integer number (124780545280).

Almost surely, 2^{10334302000400} is an apocalyptic number.

10334302000400 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 10334302000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973665433600).

10334302000400 is an abundant number, since it is smaller than the sum of its proper divisors (19613028866800).

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

10334302000400 is a wasteful number, since it uses less digits than its factorization.

10334302000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512966 (or 512955 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10334302000400 its reverse (400020343301), we get a palindrome (10734322343701).

The spelling of 10334302000400 in words is "ten trillion, three hundred thirty-four billion, three hundred two million, four hundred", and thus it is an aban number.