1001398191024 has 240 divisors, whose sum is σ = 3286124674560. Its totient is φ = 259846110720.

The previous prime is 1001398191011. The next prime is 1001398191037. The reversal of 1001398191024 is 4201918931001.

It is an interprime number because it is at equal distance from previous prime (1001398191011) and next prime (1001398191037).

It is a super-2 number, since 2×1001398191024² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26862382 + ... + 26899634.

It is an arithmetic number, because the mean of its divisors is an integer number (13692186144).

Almost surely, 2^{1001398191024} is an apocalyptic number.

1001398191024 is a gapful number since it is divisible by the number (14) 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 1001398191024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643062337280).

1001398191024 is an abundant number, since it is smaller than the sum of its proper divisors (2284726483536).

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

1001398191024 is a wasteful number, since it uses less digits than its factorization.

1001398191024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38328 (or 38315 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 1001398191024 in words is "one trillion, one billion, three hundred ninety-eight million, one hundred ninety-one thousand, twenty-four".