10401434340 has 192 divisors, whose sum is σ = 32938278912. Its totient is φ = 2429683200.

The previous prime is 10401434333. The next prime is 10401434383. The reversal of 10401434340 is 4343410401.

It is a self number, because there is not a number n which added to its sum of digits gives 10401434340.

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 63 ways as a sum of consecutive naturals, for example, 5380014 + ... + 5381946.

It is an arithmetic number, because the mean of its divisors is an integer number (171553536).

Almost surely, 2^10401434340 is an apocalyptic number.

10401434340 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 10401434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469139456).

10401434340 is an abundant number, since it is smaller than the sum of its proper divisors (22536844572).

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

10401434340 is a wasteful number, since it uses less digits than its factorization.

10401434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10401434340 its reverse (4343410401), we get a palindrome (14744844741).

The spelling of 10401434340 in words is "ten billion, four hundred one million, four hundred thirty-four thousand, three hundred forty".