1025825439744 has 324 divisors, whose sum is σ = 3447512847324. Its totient is φ = 293076467712.

The previous prime is 1025825439739. The next prime is 1025825439773. The reversal of 1025825439744 is 4479345285201.

It is a happy number.

1025825439744 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 8 + 2 + 543 + 97 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57793879 + ... + 57811625.

It is an arithmetic number, because the mean of its divisors is an integer number (10640471751).

Almost surely, 2^{1025825439744} is an apocalyptic number.

1025825439744 is a gapful number since it is divisible by the number (14) 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 1025825439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723756423662).

1025825439744 is an abundant number, since it is smaller than the sum of its proper divisors (2421687407580).

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

1025825439744 is an frugal number, since it uses more digits than its factorization.

1025825439744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17801 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1025825439744 in words is "one trillion, twenty-five billion, eight hundred twenty-five million, four hundred thirty-nine thousand, seven hundred forty-four".