1065020711040 has 2048 divisors, whose sum is σ = 4765151462400. Its totient is φ = 223590481920.

The previous prime is 1065020710981. The next prime is 1065020711101. The reversal of 1065020711040 is 401170205601.

It is a happy number.

1065020711040 is a `hidden beast` number, since 1 + 0 + 6 + 502 + 0 + 7 + 110 + 40 = 666.

It is a super-2 number, since 2×1065020711040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1065020710995 and 1065020711013.

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 255 ways as a sum of consecutive naturals, for example, 3402621924 + ... + 3402622236.

Almost surely, 2^{1065020711040} is an apocalyptic number.

1065020711040 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 1065020711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382575731200).

1065020711040 is an abundant number, since it is smaller than the sum of its proper divisors (3700130751360).

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

1065020711040 is a wasteful number, since it uses less digits than its factorization.

1065020711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1065020711040 its reverse (401170205601), we get a palindrome (1466190916641).

The spelling of 1065020711040 in words is "one trillion, sixty-five billion, twenty million, seven hundred eleven thousand, forty".