2134132301440 has 64 divisors (see below), whose sum is σ = 5109724065960. Its totient is φ = 852345475072.

The previous prime is 2134132301429. The next prime is 2134132301479. The reversal of 2134132301440 is 441032314312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1440403228224 + 693729073216 = 1200168^2 + 832904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2134132301399 and 2134132301408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2135359 + ... + 2971198.

Almost surely, 2^{2134132301440} is an apocalyptic number.

2134132301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134132301440 is an abundant number, since it is smaller than the sum of its proper divisors (2975591764520).

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

2134132301440 is an equidigital number, since it uses as much as digits as its factorization.

2134132301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107229 (or 5107217 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2134132301440 its reverse (441032314312), we get a palindrome (2575164615752).

The spelling of 2134132301440 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-two million, three hundred one thousand, four hundred forty".