1025771040 has 288 divisors, whose sum is σ = 4149774720. Its totient is φ = 234399744.

The previous prime is 1025771027. The next prime is 1025771101. The reversal of 1025771040 is 401775201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1025770995 and 1025771013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270276 + ... + 274044.

It is an arithmetic number, because the mean of its divisors is an integer number (14408940).

Almost surely, 2^1025771040 is an apocalyptic number.

1025771040 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 1025771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074887360).

1025771040 is an abundant number, since it is smaller than the sum of its proper divisors (3124003680).

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

1025771040 is an equidigital number, since it uses as much as digits as its factorization.

1025771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1025771040 is about 32027.6605452225. The cubic root of 1025771040 is about 1008.5175913228.

The spelling of 1025771040 in words is "one billion, twenty-five million, seven hundred seventy-one thousand, forty".