1025734662144 has 384 divisors, whose sum is σ = 3075299136000. Its totient is φ = 337798397952.

The previous prime is 1025734662143. The next prime is 1025734662151. The reversal of 1025734662144 is 4412664375201.

1025734662144 is a `hidden beast` number, since 1 + 0 + 2 + 573 + 4 + 6 + 62 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1025734662144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025734662143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857199437 + ... + 2857199795.

It is an arithmetic number, because the mean of its divisors is an integer number (8008591500).

Almost surely, 2^{1025734662144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025734662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537649568000).

1025734662144 is an abundant number, since it is smaller than the sum of its proper divisors (2049564473856).

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

1025734662144 is a wasteful number, since it uses less digits than its factorization.

1025734662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1025734662144 in words is "one trillion, twenty-five billion, seven hundred thirty-four million, six hundred sixty-two thousand, one hundred forty-four".