1140007212640 has 192 divisors, whose sum is σ = 2739014853120. Its totient is φ = 448345497600.

The previous prime is 1140007212637. The next prime is 1140007212667. The reversal of 1140007212640 is 462127000411.

It is a junction number, because it is equal to n+sod(n) for n = 1140007212599 and 1140007212608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327132531 + ... + 1327133389.

It is an arithmetic number, because the mean of its divisors is an integer number (14265702360).

Almost surely, 2^{1140007212640} is an apocalyptic number.

1140007212640 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 1140007212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369507426560).

1140007212640 is an abundant number, since it is smaller than the sum of its proper divisors (1599007640480).

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

1140007212640 is a wasteful number, since it uses less digits than its factorization.

1140007212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 1140007212640 in words is "one trillion, one hundred forty billion, seven million, two hundred twelve thousand, six hundred forty".