1074205440 has 648 divisors, whose sum is σ = 4743739728. Its totient is φ = 221921280.

The previous prime is 1074205417. The next prime is 1074205481. The reversal of 1074205440 is 445024701.

1074205440 is a `hidden beast` number, since 10 + 7 + 4 + 205 + 440 = 666.

1074205440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209194 + ... + 6209366.

It is an arithmetic number, because the mean of its divisors is an integer number (7320586).

Almost surely, 2^1074205440 is an apocalyptic number.

1074205440 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 1074205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371869864).

1074205440 is an abundant number, since it is smaller than the sum of its proper divisors (3669534288).

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

1074205440 is a wasteful number, since it uses less digits than its factorization.

1074205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1074205440 is about 32775.0734552953. The cubic root of 1074205440 is about 1024.1473583507.

1074205440 divided by its product of nonzero digits (4480) gives a triangular number (239778 = T₆₉₂).

The spelling of 1074205440 in words is "one billion, seventy-four million, two hundred five thousand, four hundred forty".