1042024240000 has 160 divisors (see below), whose sum is σ = 2608422256440. Its totient is φ = 414501120000.

The previous prime is 1042024239979. The next prime is 1042024240003. The reversal of 1042024240000 is 424202401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1042024240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042024240003) 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 19 ways as a sum of consecutive naturals, for example, 14444019 + ... + 14515981.

Almost surely, 2^{1042024240000} is an apocalyptic number.

1042024240000 is a gapful number since it is divisible by the number (10) 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 1042024240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304211128220).

1042024240000 is an abundant number, since it is smaller than the sum of its proper divisors (1566398016440).

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

1042024240000 is an frugal number, since it uses more digits than its factorization.

1042024240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72178 (or 72151 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 1042024240000 its reverse (424202401), we get a palindrome (1042448442401).

The spelling of 1042024240000 in words is "one trillion, forty-two billion, twenty-four million, two hundred forty thousand".