1001312193440 has 576 divisors, whose sum is σ = 2798560316160. Its totient is φ = 335544975360.

The previous prime is 1001312193433. The next prime is 1001312193443. The reversal of 1001312193440 is 443912131001.

It is a happy number.

It is a super-2 number, since 2×1001312193440² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001312193443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5188145984 + ... + 5188146176.

It is an arithmetic number, because the mean of its divisors is an integer number (4858611660).

Almost surely, 2^{1001312193440} is an apocalyptic number.

1001312193440 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 1001312193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399280158080).

1001312193440 is an abundant number, since it is smaller than the sum of its proper divisors (1797248122720).

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

1001312193440 is a wasteful number, since it uses less digits than its factorization.

1001312193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1001312193440 in words is "one trillion, one billion, three hundred twelve million, one hundred ninety-three thousand, four hundred forty".