1074429982080 has 2304 divisors, whose sum is σ = 4955073177600. Its totient is φ = 216603279360.

The previous prime is 1074429982057. The next prime is 1074429982097. The reversal of 1074429982080 is 802899244701.

1074429982080 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 429 + 9 + 8 + 208 + 0 = 666.

It is a super-2 number, since 2×1074429982080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13600379481 + ... + 13600379559.

It is an arithmetic number, because the mean of its divisors is an integer number (2150639400).

Almost surely, 2^{1074429982080} is an apocalyptic number.

1074429982080 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 1074429982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477536588800).

1074429982080 is an abundant number, since it is smaller than the sum of its proper divisors (3880643195520).

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

1074429982080 is an equidigital number, since it uses as much as digits as its factorization.

1074429982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1074429982080 in words is "one trillion, seventy-four billion, four hundred twenty-nine million, nine hundred eighty-two thousand, eighty".