1074375249360 has 320 divisors, whose sum is σ = 4106309893632. Its totient is φ = 226764914688.

The previous prime is 1074375249323. The next prime is 1074375249401. The reversal of 1074375249360 is 639425734701.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158792 + ... + 1868568.

Almost surely, 2^{1074375249360} is an apocalyptic number.

1074375249360 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 1074375249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053154946816).

1074375249360 is an abundant number, since it is smaller than the sum of its proper divisors (3031934644272).

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

1074375249360 is a wasteful number, since it uses less digits than its factorization.

1074375249360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709870 (or 709864 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 1074375249360 in words is "one trillion, seventy-four billion, three hundred seventy-five million, two hundred forty-nine thousand, three hundred sixty".