1025742867072 has 512 divisors, whose sum is σ = 3583872000000. Its totient is φ = 251829596160.

The previous prime is 1025742867047. The next prime is 1025742867109. The reversal of 1025742867072 is 2707682475201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280332379 + ... + 280336037.

It is an arithmetic number, because the mean of its divisors is an integer number (6999750000).

Almost surely, 2^{1025742867072} is an apocalyptic number.

1025742867072 is a gapful number since it is divisible by the number (12) 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 1025742867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791936000000).

1025742867072 is an abundant number, since it is smaller than the sum of its proper divisors (2558129132928).

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

1025742867072 is a wasteful number, since it uses less digits than its factorization.

1025742867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 1025742867072 in words is "one trillion, twenty-five billion, seven hundred forty-two million, eight hundred sixty-seven thousand, seventy-two".