1078165345040 has 160 divisors (see below), whose sum is σ = 2975331709440. Its totient is φ = 355624169472.

The previous prime is 1078165344959. The next prime is 1078165345051. The reversal of 1078165345040 is 405435618701.

It is a super-2 number, since 2×1078165345040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1078165344982 and 1078165345000.

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, 1551749 + ... + 2136411.

It is an arithmetic number, because the mean of its divisors is an integer number (18595823184).

Almost surely, 2^{1078165345040} is an apocalyptic number.

1078165345040 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 1078165345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487665854720).

1078165345040 is an abundant number, since it is smaller than the sum of its proper divisors (1897166364400).

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

1078165345040 is a wasteful number, since it uses less digits than its factorization.

1078165345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584809 (or 584803 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 1078165345040 in words is "one trillion, seventy-eight billion, one hundred sixty-five million, three hundred forty-five thousand, forty".