1020205040 has 80 divisors (see below), whose sum is σ = 2473341696. Its totient is φ = 390912000.

The previous prime is 1020205027. The next prime is 1020205073. The reversal of 1020205040 is 405020201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248444 + ... + 252516.

Almost surely, 2^1020205040 is an apocalyptic number.

1020205040 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 1020205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236670848).

1020205040 is an abundant number, since it is smaller than the sum of its proper divisors (1453136656).

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

1020205040 is a wasteful number, since it uses less digits than its factorization.

1020205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1020205040 is about 31940.6487097554. The cubic root of 1020205040 is about 1006.6901553418.

Adding to 1020205040 its reverse (405020201), we get a palindrome (1425225241).

The spelling of 1020205040 in words is "one billion, twenty million, two hundred five thousand, forty".