10254033144 has 192 divisors, whose sum is σ = 29833090560. Its totient is φ = 3174462720.

The previous prime is 10254033143. The next prime is 10254033151. The reversal of 10254033144 is 44133045201.

It is a happy number.

10254033144 is a `hidden beast` number, since 102 + 540 + 3 + 3 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254033143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8383717 + ... + 8384939.

It is an arithmetic number, because the mean of its divisors is an integer number (155380680).

Almost surely, 2^10254033144 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 10254033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916545280).

10254033144 is an abundant number, since it is smaller than the sum of its proper divisors (19579057416).

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

10254033144 is a wasteful number, since it uses less digits than its factorization.

10254033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10254033144 its reverse (44133045201), we get a palindrome (54387078345).

The spelling of 10254033144 in words is "ten billion, two hundred fifty-four million, thirty-three thousand, one hundred forty-four".