32010003340014 has 320 divisors, whose sum is σ = 79603334556480. Its totient is φ = 8550869483520.

The previous prime is 32010003340013. The next prime is 32010003340057. The reversal of 32010003340014 is 41004330001023.

It is a super-5 number, since 5×32010003340014⁵ (a number of 69 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32010003340013) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31351618824 + ... + 31351619844.

It is an arithmetic number, because the mean of its divisors is an integer number (248760420489).

Almost surely, 2^{32010003340014} is an apocalyptic number.

32010003340014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32010003340014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801667278240).

32010003340014 is an abundant number, since it is smaller than the sum of its proper divisors (47593331216466).

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

32010003340014 is a wasteful number, since it uses less digits than its factorization.

32010003340014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32010003340014 its reverse (41004330001023), we get a palindrome (73014333341037).

The spelling of 32010003340014 in words is "thirty-two trillion, ten billion, three million, three hundred forty thousand, fourteen".