1001438286840 has 320 divisors, whose sum is σ = 3718900848960. Its totient is φ = 240413184000.

The previous prime is 1001438286839. The next prime is 1001438286841. The reversal of 1001438286840 is 486828341001.

1001438286840 is a `hidden beast` number, since 100 + 14 + 382 + 86 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1001438286839) and next prime (1001438286841).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (1001438286841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 871590 + ... + 1662090.

It is an arithmetic number, because the mean of its divisors is an integer number (11621565153).

Almost surely, 2^{1001438286840} is an apocalyptic number.

1001438286840 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 1001438286840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859450424480).

1001438286840 is an abundant number, since it is smaller than the sum of its proper divisors (2717462562120).

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

1001438286840 is a wasteful number, since it uses less digits than its factorization.

1001438286840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790564 (or 790551 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1001438286840 in words is "one trillion, one billion, four hundred thirty-eight million, two hundred eighty-six thousand, eight hundred forty".