1058118085440 has 1120 divisors, whose sum is σ = 4321227445920. Its totient is φ = 244914388992.

The previous prime is 1058118085433. The next prime is 1058118085447. The reversal of 1058118085440 is 445808118501.

1058118085440 is a `hidden beast` number, since 1 + 0 + 58 + 1 + 1 + 80 + 85 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1058118085433) and next prime (1058118085447).

It can be written as a sum of positive squares in 16 ways, for example, as 712430531136 + 345687554304 = 844056^2 + 587952^2 .

It is a super-2 number, since 2×1058118085440² (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 (1058118085447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 968085534 + ... + 968086626.

It is an arithmetic number, because the mean of its divisors is an integer number (3858238791).

Almost surely, 2^{1058118085440} is an apocalyptic number.

1058118085440 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 1058118085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160613722960).

1058118085440 is an abundant number, since it is smaller than the sum of its proper divisors (3263109360480).

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

1058118085440 is a wasteful number, since it uses less digits than its factorization.

1058118085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 1058118085440 in words is "one trillion, fifty-eight billion, one hundred eighteen million, eighty-five thousand, four hundred forty".