1004286366720 has 2640 divisors, whose sum is σ = 4699474433280. Its totient is φ = 200403320832.

The previous prime is 1004286366691. The next prime is 1004286366757. The reversal of 1004286366720 is 276636824001.

1004286366720 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 8 + 636 + 6 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×1004286366720² (a number of 25 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11284116436 + ... + 11284116524.

It is an arithmetic number, because the mean of its divisors is an integer number (1780103952).

Almost surely, 2^{1004286366720} is an apocalyptic number.

1004286366720 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 1004286366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349737216640).

1004286366720 is an abundant number, since it is smaller than the sum of its proper divisors (3695188066560).

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

1004286366720 is a wasteful number, since it uses less digits than its factorization.

1004286366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1004286366720 in words is "one trillion, four billion, two hundred eighty-six million, three hundred sixty-six thousand, seven hundred twenty".