1025305040 has 80 divisors (see below), whose sum is σ = 2548336896. Its totient is φ = 382694400.

The previous prime is 1025305031. The next prime is 1025305049. The reversal of 1025305040 is 405035201.

It is an interprime number because it is at equal distance from previous prime (1025305031) and next prime (1025305049).

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025305049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68645 + ... + 82235.

Almost surely, 2^1025305040 is an apocalyptic number.

1025305040 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 1025305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274168448).

1025305040 is an abundant number, since it is smaller than the sum of its proper divisors (1523031856).

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

1025305040 is a wasteful number, since it uses less digits than its factorization.

1025305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668 (or 13662 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1025305040 is about 32020.3847572136. The cubic root of 1025305040 is about 1008.3648475606.

The spelling of 1025305040 in words is "one billion, twenty-five million, three hundred five thousand, forty".