10400010243304 has 128 divisors (see below), whose sum is σ = 21703997952000. Its totient is φ = 4631992844800.

The previous prime is 10400010243263. The next prime is 10400010243323. The reversal of 10400010243304 is 40334201000401.

10400010243304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2713280172 + ... + 2713284004.

It is an arithmetic number, because the mean of its divisors is an integer number (169562484000).

Almost surely, 2^{10400010243304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400010243304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10851998976000).

10400010243304 is an abundant number, since it is smaller than the sum of its proper divisors (11303987708696).

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

10400010243304 is a wasteful number, since it uses less digits than its factorization.

10400010243304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10400010243304 its reverse (40334201000401), we get a palindrome (50734211243705).

The spelling of 10400010243304 in words is "ten trillion, four hundred billion, ten million, two hundred forty-three thousand, three hundred four".