2145336461440 has 128 divisors (see below), whose sum is σ = 5310945792000. Its totient is φ = 827700572160.

The previous prime is 2145336461419. The next prime is 2145336461447. The reversal of 2145336461440 is 441646335412.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2145336461447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18334641 + ... + 18451279.

It is an arithmetic number, because the mean of its divisors is an integer number (41491764000).

Almost surely, 2^{2145336461440} is an apocalyptic number.

2145336461440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145336461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655472896000).

2145336461440 is an abundant number, since it is smaller than the sum of its proper divisors (3165609330560).

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

2145336461440 is a wasteful number, since it uses less digits than its factorization.

2145336461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117678 (or 117666 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 2145336461440 in words is "two trillion, one hundred forty-five billion, three hundred thirty-six million, four hundred sixty-one thousand, four hundred forty".