10400343003200 has 168 divisors, whose sum is σ = 25636635340800. Its totient is φ = 4152782684160.

The previous prime is 10400343003199. The next prime is 10400343003257. The reversal of 10400343003200 is 230034300401.

It is a super-2 number, since 2×10400343003200² (a number of 27 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2883375797 + ... + 2883379403.

Almost surely, 2^{10400343003200} is an apocalyptic number.

10400343003200 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 10400343003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818317670400).

10400343003200 is an abundant number, since it is smaller than the sum of its proper divisors (15236292337600).

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

10400343003200 is a wasteful number, since it uses less digits than its factorization.

10400343003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6302 counting only the distinct ones).

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

Adding to 10400343003200 its reverse (230034300401), we get a palindrome (10630377303601).

The spelling of 10400343003200 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, two hundred".