10400340412 has 96 divisors (see below), whose sum is σ = 24231997440. Its totient is φ = 3786048000.

The previous prime is 10400340409. The next prime is 10400340413. The reversal of 10400340412 is 21404300401.

It is a self number, because there is not a number n which added to its sum of digits gives 10400340412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400340413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 258112 + ... + 295672.

It is an arithmetic number, because the mean of its divisors is an integer number (252416640).

Almost surely, 2^10400340412 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 10400340412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115998720).

10400340412 is an abundant number, since it is smaller than the sum of its proper divisors (13831657028).

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

10400340412 is a wasteful number, since it uses less digits than its factorization.

10400340412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37643 (or 37641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10400340412 its reverse (21404300401), we get a palindrome (31804640813).

The spelling of 10400340412 in words is "ten billion, four hundred million, three hundred forty thousand, four hundred twelve".