1020275040 has 96 divisors (see below), whose sum is σ = 3222344160. Its totient is φ = 271355904.

The previous prime is 1020275027. The next prime is 1020275051. The reversal of 1020275040 is 405720201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1020275040² = 2081922314494003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020274998 and 1020275016.

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, 193722 + ... + 198918.

It is an arithmetic number, because the mean of its divisors is an integer number (33566085).

Almost surely, 2^1020275040 is an apocalyptic number.

1020275040 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 1020275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611172080).

1020275040 is an abundant number, since it is smaller than the sum of its proper divisors (2202069120).

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

1020275040 is a wasteful number, since it uses less digits than its factorization.

1020275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1020275040 is about 31941.7444733377. The cubic root of 1020275040 is about 1006.7131790466.

Adding to 1020275040 its reverse (405720201), we get a palindrome (1425995241).

The spelling of 1020275040 in words is "one billion, twenty million, two hundred seventy-five thousand, forty".