1020441424340 has 192 divisors, whose sum is σ = 2425659747840. Its totient is φ = 358162421760.

The previous prime is 1020441424337. The next prime is 1020441424427. The reversal of 1020441424340 is 434241440201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56309801 + ... + 56327919.

It is an arithmetic number, because the mean of its divisors is an integer number (12633644520).

Almost surely, 2^{1020441424340} is an apocalyptic number.

1020441424340 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 1020441424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212829873920).

1020441424340 is an abundant number, since it is smaller than the sum of its proper divisors (1405218323500).

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

1020441424340 is a wasteful number, since it uses less digits than its factorization.

1020441424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18322 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1020441424340 its reverse (434241440201), we get a palindrome (1454682864541).

The spelling of 1020441424340 in words is "one trillion, twenty billion, four hundred forty-one million, four hundred twenty-four thousand, three hundred forty".