1020003442000 has 80 divisors (see below), whose sum is σ = 2466957729600. Its totient is φ = 407903875200.

The previous prime is 1020003441991. The next prime is 1020003442037. The reversal of 1020003442000 is 2443000201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8619231 + ... + 8736769.

It is an arithmetic number, because the mean of its divisors is an integer number (30836971620).

Almost surely, 2^{1020003442000} is an apocalyptic number.

1020003442000 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 1020003442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233478864800).

1020003442000 is an abundant number, since it is smaller than the sum of its proper divisors (1446954287600).

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

1020003442000 is a wasteful number, since it uses less digits than its factorization.

1020003442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121901 (or 121885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1020003442000 its reverse (2443000201), we get a palindrome (1022446442201).

The spelling of 1020003442000 in words is "one trillion, twenty billion, three million, four hundred forty-two thousand".