1074349503072 has 480 divisors, whose sum is σ = 3424734593280. Its totient is φ = 329238328320.

The previous prime is 1074349503041. The next prime is 1074349503079. The reversal of 1074349503072 is 2703059434701.

1074349503072 is a `hidden beast` number, since 1 + 0 + 74 + 3 + 4 + 9 + 503 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074349503079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1324721547 + ... + 1324722357.

It is an arithmetic number, because the mean of its divisors is an integer number (7134863736).

Almost surely, 2^{1074349503072} is an apocalyptic number.

1074349503072 is a gapful number since it is divisible by the number (12) 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 1074349503072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712367296640).

1074349503072 is an abundant number, since it is smaller than the sum of its proper divisors (2350385090208).

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

1074349503072 is a wasteful number, since it uses less digits than its factorization.

1074349503072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1074349503072 in words is "one trillion, seventy-four billion, three hundred forty-nine million, five hundred three thousand, seventy-two".