1001214011440 has 20 divisors (see below), whose sum is σ = 2327822576784. Its totient is φ = 400485604544.

The previous prime is 1001214011429. The next prime is 1001214011459. The reversal of 1001214011440 is 441104121001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1001214011440³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6257587492 + ... + 6257587651.

Almost surely, 2^{1001214011440} is an apocalyptic number.

1001214011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001214011440 is an abundant number, since it is smaller than the sum of its proper divisors (1326608565344).

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

1001214011440 is a wasteful number, since it uses less digits than its factorization.

1001214011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515175156 (or 12515175150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1001214011440 its reverse (441104121001), we get a palindrome (1442318132441).

The spelling of 1001214011440 in words is "one trillion, one billion, two hundred fourteen million, eleven thousand, four hundred forty".