1042105012144 has 240 divisors, whose sum is σ = 2506713845760. Its totient is φ = 410913054720.

The previous prime is 1042105012079. The next prime is 1042105012147. The reversal of 1042105012144 is 4412105012401.

It is not an unprimeable number, because it can be changed into a prime (1042105012147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364753564 + ... + 364756420.

It is an arithmetic number, because the mean of its divisors is an integer number (10444641024).

Almost surely, 2^{1042105012144} is an apocalyptic number.

1042105012144 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 1042105012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253356922880).

1042105012144 is an abundant number, since it is smaller than the sum of its proper divisors (1464608833616).

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

1042105012144 is a wasteful number, since it uses less digits than its factorization.

1042105012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The spelling of 1042105012144 in words is "one trillion, forty-two billion, one hundred five million, twelve thousand, one hundred forty-four".