1140025515072 has 112 divisors (see below), whose sum is σ = 3194813381760. Its totient is φ = 357535752192.

The previous prime is 1140025515071. The next prime is 1140025515107. The reversal of 1140025515072 is 2705155200411.

It is not an unprimeable number, because it can be changed into a prime (1140025515071) 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 15 ways as a sum of consecutive naturals, for example, 9993138 + ... + 10106574.

It is an arithmetic number, because the mean of its divisors is an integer number (28525119480).

Almost surely, 2^{1140025515072} is an apocalyptic number.

1140025515072 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 1140025515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597406690880).

1140025515072 is an abundant number, since it is smaller than the sum of its proper divisors (2054787866688).

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

1140025515072 is a wasteful number, since it uses less digits than its factorization.

1140025515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116548 (or 116538 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The spelling of 1140025515072 in words is "one trillion, one hundred forty billion, twenty-five million, five hundred fifteen thousand, seventy-two".