1606543741440 has 1920 divisors, whose sum is σ = 6706679316480. Its totient is φ = 351151718400.

The previous prime is 1606543741427. The next prime is 1606543741469. The reversal of 1606543741440 is 441473456061.

1606543741440 is a `hidden beast` number, since 1 + 60 + 6 + 543 + 7 + 4 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×1606543741440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12649950657 + ... + 12649950783.

It is an arithmetic number, because the mean of its divisors is an integer number (3493062144).

Almost surely, 2^{1606543741440} is an apocalyptic number.

1606543741440 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 1606543741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353339658240).

1606543741440 is an abundant number, since it is smaller than the sum of its proper divisors (5100135575040).

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

1606543741440 is a wasteful number, since it uses less digits than its factorization.

1606543741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1606543741440 in words is "one trillion, six hundred six billion, five hundred forty-three million, seven hundred forty-one thousand, four hundred forty".