1075338411840 has 1344 divisors, whose sum is σ = 4796114319360. Its totient is φ = 214652436480.

The previous prime is 1075338411827. The next prime is 1075338411859. The reversal of 1075338411840 is 481148335701.

1075338411840 is a `hidden beast` number, since 107 + 53 + 3 + 8 + 411 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 681024171 + ... + 681025749.

It is an arithmetic number, because the mean of its divisors is an integer number (3568537440).

Almost surely, 2^{1075338411840} is an apocalyptic number.

1075338411840 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 1075338411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398057159680).

1075338411840 is an abundant number, since it is smaller than the sum of its proper divisors (3720775907520).

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

1075338411840 is a wasteful number, since it uses less digits than its factorization.

1075338411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1075338411840 in words is "one trillion, seventy-five billion, three hundred thirty-eight million, four hundred eleven thousand, eight hundred forty".