1020242435200 has 96 divisors (see below), whose sum is σ = 2530864800000. Its totient is φ = 406389150720.

The previous prime is 1020242435159. The next prime is 1020242435237. The reversal of 1020242435200 is 25342420201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97801 + ... + 1431799.

It is an arithmetic number, because the mean of its divisors is an integer number (26363175000).

Almost surely, 2^{1020242435200} is an apocalyptic number.

1020242435200 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 1020242435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265432400000).

1020242435200 is an abundant number, since it is smaller than the sum of its proper divisors (1510622364800).

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

1020242435200 is a wasteful number, since it uses less digits than its factorization.

1020242435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334262 (or 1334245 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1020242435200 its reverse (25342420201), we get a palindrome (1045584855401).

The spelling of 1020242435200 in words is "one trillion, twenty billion, two hundred forty-two million, four hundred thirty-five thousand, two hundred".