1025210251440 has 240 divisors, whose sum is σ = 3461236466688. Its totient is φ = 271943391744.

The previous prime is 1025210251399. The next prime is 1025210251441. The reversal of 1025210251440 is 441520125201.

It is a happy number.

1025210251440 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 102 + 514 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1025210251441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256108479 + ... + 256112481.

Almost surely, 2^{1025210251440} is an apocalyptic number.

1025210251440 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 1025210251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730618233344).

1025210251440 is an abundant number, since it is smaller than the sum of its proper divisors (2436026215248).

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

1025210251440 is a wasteful number, since it uses less digits than its factorization.

1025210251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1025210251440 its reverse (441520125201), we get a palindrome (1466730376641).

The spelling of 1025210251440 in words is "one trillion, twenty-five billion, two hundred ten million, two hundred fifty-one thousand, four hundred forty".