10400012244342 has 96 divisors (see below), whose sum is σ = 26008030893312. Its totient is φ = 2942071284672.

The previous prime is 10400012244299. The next prime is 10400012244343. The reversal of 10400012244342 is 24344221000401.

10400012244342 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 0 + 1 + 224 + 434 + 2 = 666.

It is a super-2 number, since 2×10400012244342² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400012244343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4669453 + ... + 6527159.

It is an arithmetic number, because the mean of its divisors is an integer number (270916988472).

Almost surely, 2^{10400012244342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400012244342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004015446656).

10400012244342 is an abundant number, since it is smaller than the sum of its proper divisors (15608018648970).

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

10400012244342 is a wasteful number, since it uses less digits than its factorization.

10400012244342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858162 (or 1858159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10400012244342 its reverse (24344221000401), we get a palindrome (34744233244743).

The spelling of 10400012244342 in words is "ten trillion, four hundred billion, twelve million, two hundred forty-four thousand, three hundred forty-two".