1005442885440 has 1008 divisors, whose sum is σ = 4127216820480. Its totient is φ = 223921152000.

The previous prime is 1005442885439. The next prime is 1005442885481. The reversal of 1005442885440 is 445882445001.

1005442885440 is a `hidden beast` number, since 1 + 0 + 0 + 544 + 28 + 85 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 1338805065 + ... + 1338805815.

Almost surely, 2^{1005442885440} is an apocalyptic number.

1005442885440 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 1005442885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063608410240).

1005442885440 is an abundant number, since it is smaller than the sum of its proper divisors (3121773935040).

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

1005442885440 is a wasteful number, since it uses less digits than its factorization.

1005442885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

It can be divided in two parts, 100544 and 2885440, that added together give a 6-th power (2985984 = 12⁶).

The spelling of 1005442885440 in words is "one trillion, five billion, four hundred forty-two million, eight hundred eighty-five thousand, four hundred forty".