1036306275840 has 1440 divisors, whose sum is σ = 4175128488960. Its totient is φ = 244552089600.

The previous prime is 1036306275833. The next prime is 1036306275841. The reversal of 1036306275840 is 485726036301.

1036306275840 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 3 + 0 + 62 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1036306275840³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036306275841) 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 143 ways as a sum of consecutive naturals, for example, 13117800921 + ... + 13117800999.

It is an arithmetic number, because the mean of its divisors is an integer number (2899394784).

Almost surely, 2^{1036306275840} is an apocalyptic number.

1036306275840 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 1036306275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087564244480).

1036306275840 is an abundant number, since it is smaller than the sum of its proper divisors (3138822213120).

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

1036306275840 is an frugal number, since it uses more digits than its factorization.

1036306275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1036306275840 in words is "one trillion, thirty-six billion, three hundred six million, two hundred seventy-five thousand, eight hundred forty".