1005151041144 has 192 divisors, whose sum is σ = 3104688787200. Its totient is φ = 291796743168.

The previous prime is 1005151041109. The next prime is 1005151041149. The reversal of 1005151041144 is 4411401515001.

It is a happy number.

1005151041144 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 510 + 4 + 1 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005151041149) 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, 497437 + ... + 1502579.

It is an arithmetic number, because the mean of its divisors is an integer number (16170254100).

Almost surely, 2^{1005151041144} 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 1005151041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552344393600).

1005151041144 is an abundant number, since it is smaller than the sum of its proper divisors (2099537746056).

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

1005151041144 is a wasteful number, since it uses less digits than its factorization.

1005151041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005234 (or 1005227 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 1005151041144 its reverse (4411401515001), we get a palindrome (5416552556145).

The spelling of 1005151041144 in words is "one trillion, five billion, one hundred fifty-one million, forty-one thousand, one hundred forty-four".