10401334400 has 192 divisors, whose sum is σ = 27346999680. Its totient is φ = 3895541760.

The previous prime is 10401334393. The next prime is 10401334421. The reversal of 10401334400 is 443310401.

It is a happy number.

10401334400 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 (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14306837 + ... + 14307563.

It is an arithmetic number, because the mean of its divisors is an integer number (142432290).

Almost surely, 2^10401334400 is an apocalyptic number.

10401334400 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 10401334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673499840).

10401334400 is an abundant number, since it is smaller than the sum of its proper divisors (16945665280).

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

10401334400 is a wasteful number, since it uses less digits than its factorization.

10401334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10401334400 its reverse (443310401), we get a palindrome (10844644801).

The spelling of 10401334400 in words is "ten billion, four hundred one million, three hundred thirty-four thousand, four hundred".