1074732382080 has 1024 divisors, whose sum is σ = 4468089600000. Its totient is φ = 244039606272.

The previous prime is 1074732382067. The next prime is 1074732382091. The reversal of 1074732382080 is 802832374701.

1074732382080 is a `hidden beast` number, since 1 + 0 + 7 + 473 + 23 + 82 + 0 + 80 = 666.

1074732382080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1074732382080² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1060939654 + ... + 1060940666.

It is an arithmetic number, because the mean of its divisors is an integer number (4363368750).

Almost surely, 2^{1074732382080} is an apocalyptic number.

1074732382080 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 1074732382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234044800000).

1074732382080 is an abundant number, since it is smaller than the sum of its proper divisors (3393357217920).

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

1074732382080 is a wasteful number, since it uses less digits than its factorization.

1074732382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1074732382080 in words is "one trillion, seventy-four billion, seven hundred thirty-two million, three hundred eighty-two thousand, eighty".