2142411021440 has 128 divisors (see below), whose sum is σ = 5358725856000. Its totient is φ = 817505390592.

The previous prime is 2142411021407. The next prime is 2142411021479. The reversal of 2142411021440 is 441201142412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5295461 + ... + 5685659.

It is an arithmetic number, because the mean of its divisors is an integer number (41865045750).

Almost surely, 2^{2142411021440} is an apocalyptic number.

2142411021440 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 2142411021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679362928000).

2142411021440 is an abundant number, since it is smaller than the sum of its proper divisors (3216314834560).

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

2142411021440 is a wasteful number, since it uses less digits than its factorization.

2142411021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390614 (or 390602 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 2142411021440 its reverse (441201142412), we get a palindrome (2583612163852).

The spelling of 2142411021440 in words is "two trillion, one hundred forty-two billion, four hundred eleven million, twenty-one thousand, four hundred forty".