10410012144 has 240 divisors, whose sum is σ = 36258393600. Its totient is φ = 2720438784.

The previous prime is 10410012143. The next prime is 10410012149. The reversal of 10410012144 is 44121001401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410012143) 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, 546037 + ... + 564779.

It is an arithmetic number, because the mean of its divisors is an integer number (151076640).

Almost surely, 2^10410012144 is an apocalyptic number.

10410012144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10410012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129196800).

10410012144 is an abundant number, since it is smaller than the sum of its proper divisors (25848381456).

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

10410012144 is a wasteful number, since it uses less digits than its factorization.

10410012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10410012144 its reverse (44121001401), we get a palindrome (54531013545).

The spelling of 10410012144 in words is "ten billion, four hundred ten million, twelve thousand, one hundred forty-four".