1065948242040 has 384 divisors, whose sum is σ = 3922730622720. Its totient is φ = 258181862400.

The previous prime is 1065948242027. The next prime is 1065948242041. The reversal of 1065948242040 is 402428495601.

It is a happy number.

1065948242040 is a `hidden beast` number, since 1 + 0 + 65 + 94 + 82 + 420 + 4 + 0 = 666.

It is a super-2 number, since 2×1065948242040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065948242041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141237547 + ... + 141245093.

It is an arithmetic number, because the mean of its divisors is an integer number (10215444330).

Almost surely, 2^{1065948242040} is an apocalyptic number.

1065948242040 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 1065948242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961365311360).

1065948242040 is an abundant number, since it is smaller than the sum of its proper divisors (2856782380680).

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

1065948242040 is a wasteful number, since it uses less digits than its factorization.

1065948242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1065948242040 in words is "one trillion, sixty-five billion, nine hundred forty-eight million, two hundred forty-two thousand, forty".