10433400242144 has 24 divisors (see below), whose sum is σ = 22408098248088. Its totient is φ = 4742454655360.

The previous prime is 10433400242141. The next prime is 10433400242149. The reversal of 10433400242144 is 44124200433401.

It is a super-3 number, since 3×10433400242144³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10433400242144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433400242141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14820170447 + ... + 14820171150.

It is an arithmetic number, because the mean of its divisors is an integer number (933670760337).

Almost surely, 2^{10433400242144} is an apocalyptic number.

It is an amenable number.

10433400242144 is an abundant number, since it is smaller than the sum of its proper divisors (11974698005944).

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

10433400242144 is a wasteful number, since it uses less digits than its factorization.

10433400242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29640341618 (or 29640341610 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10433400242144 its reverse (44124200433401), we get a palindrome (54557600675545).

The spelling of 10433400242144 in words is "ten trillion, four hundred thirty-three billion, four hundred million, two hundred forty-two thousand, one hundred forty-four".