1067102662140 has 336 divisors, whose sum is σ = 3479563156608. Its totient is φ = 274580917632.

The previous prime is 1067102662139. The next prime is 1067102662147. The reversal of 1067102662140 is 412662017601.

1067102662140 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 0 + 26 + 621 + 4 + 0 = 666.

It is a super-2 number, since 2×1067102662140² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1067102662095 and 1067102662104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067102662147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52025767 + ... + 52046273.

It is an arithmetic number, because the mean of its divisors is an integer number (10355842728).

Almost surely, 2^{1067102662140} is an apocalyptic number.

1067102662140 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 1067102662140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739781578304).

1067102662140 is an abundant number, since it is smaller than the sum of its proper divisors (2412460494468).

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

1067102662140 is a wasteful number, since it uses less digits than its factorization.

1067102662140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20643 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 1067102662140 its reverse (412662017601), we get a palindrome (1479764679741).

The spelling of 1067102662140 in words is "one trillion, sixty-seven billion, one hundred two million, six hundred sixty-two thousand, one hundred forty".