10400444003400 has 384 divisors, whose sum is σ = 35558809090560. Its totient is φ = 2493656064000.

The previous prime is 10400444003353. The next prime is 10400444003413. The reversal of 10400444003400 is 430044400401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 1144032855 + ... + 1144041945.

It is an arithmetic number, because the mean of its divisors is an integer number (92601065340).

Almost surely, 2^{10400444003400} is an apocalyptic number.

10400444003400 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 10400444003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779404545280).

10400444003400 is an abundant number, since it is smaller than the sum of its proper divisors (25158365087160).

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

10400444003400 is a wasteful number, since it uses less digits than its factorization.

10400444003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10400444003400 its reverse (430044400401), we get a palindrome (10830488403801).

The spelling of 10400444003400 in words is "ten trillion, four hundred billion, four hundred forty-four million, three thousand, four hundred".