11430400131144 has 96 divisors (see below), whose sum is σ = 31425137396640. Its totient is φ = 3752578368000.

The previous prime is 11430400131133. The next prime is 11430400131149. The reversal of 11430400131144 is 44113100403411.

11430400131144 is a `hidden beast` number, since 1 + 1 + 4 + 304 + 0 + 0 + 1 + 311 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (11430400131149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26467344 + ... + 26895744.

It is an arithmetic number, because the mean of its divisors is an integer number (327345181215).

Almost surely, 2^{11430400131144} 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 11430400131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712568698320).

11430400131144 is an abundant number, since it is smaller than the sum of its proper divisors (19994737265496).

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

11430400131144 is a wasteful number, since it uses less digits than its factorization.

11430400131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434011 (or 434004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11430400131144 its reverse (44113100403411), we get a palindrome (55543500534555).

The spelling of 11430400131144 in words is "eleven trillion, four hundred thirty billion, four hundred million, one hundred thirty-one thousand, one hundred forty-four".