2141734624128 has 384 divisors, whose sum is σ = 6817903747200. Its totient is φ = 639914250240.

The previous prime is 2141734624103. The next prime is 2141734624153. The reversal of 2141734624128 is 8214264371412.

2141734624128 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 7 + 3 + 4 + 624 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2141734624103) and next prime (2141734624153).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617390778 + ... + 617394246.

It is an arithmetic number, because the mean of its divisors is an integer number (17754957675).

Almost surely, 2^{2141734624128} 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 2141734624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408951873600).

2141734624128 is an abundant number, since it is smaller than the sum of its proper divisors (4676169123072).

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

2141734624128 is a wasteful number, since it uses less digits than its factorization.

2141734624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4155 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 2141734624128 in words is "two trillion, one hundred forty-one billion, seven hundred thirty-four million, six hundred twenty-four thousand, one hundred twenty-eight".