2114040001332 has 384 divisors, whose sum is σ = 6448023429120. Its totient is φ = 524482560000.

The previous prime is 2114040001331. The next prime is 2114040001363. The reversal of 2114040001332 is 2331000404112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2114040001299 and 2114040001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114040001331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779799457 + ... + 779802167.

It is an arithmetic number, because the mean of its divisors is an integer number (16791727680).

Almost surely, 2^{2114040001332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114040001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224011714560).

2114040001332 is an abundant number, since it is smaller than the sum of its proper divisors (4333983427788).

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

2114040001332 is a wasteful number, since it uses less digits than its factorization.

2114040001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2114040001332 its reverse (2331000404112), we get a palindrome (4445040405444).

The spelling of 2114040001332 in words is "two trillion, one hundred fourteen billion, forty million, one thousand, three hundred thirty-two".