2001431014000 has 80 divisors (see below), whose sum is σ = 5279411176416. Its totient is φ = 727793088000.

The previous prime is 2001431013983. The next prime is 2001431014001. The reversal of 2001431014000 is 4101341002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2001431014000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001431014001) 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 15 ways as a sum of consecutive naturals, for example, 45465069 + ... + 45509068.

Almost surely, 2^{2001431014000} is an apocalyptic number.

2001431014000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001431014000 is an abundant number, since it is smaller than the sum of its proper divisors (3277980162416).

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

2001431014000 is a wasteful number, since it uses less digits than its factorization.

2001431014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90974171 (or 90974155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2001431014000 its reverse (4101341002), we get a palindrome (2005532355002).

The spelling of 2001431014000 in words is "two trillion, one billion, four hundred thirty-one million, fourteen thousand".