2001416005128 has 16 divisors (see below), whose sum is σ = 5003540012880. Its totient is φ = 667138668368.

The previous prime is 2001416005081. The next prime is 2001416005133. The reversal of 2001416005128 is 8215006141002.

It is a junction number, because it is equal to n+sod(n) for n = 2001416005095 and 2001416005104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41696166750 + ... + 41696166797.

It is an arithmetic number, because the mean of its divisors is an integer number (312721250805).

Almost surely, 2^{2001416005128} is an apocalyptic number.

It is an amenable number.

2001416005128 is an abundant number, since it is smaller than the sum of its proper divisors (3002124007752).

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

2001416005128 is a wasteful number, since it uses less digits than its factorization.

2001416005128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83392333556 (or 83392333552 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 2001416005128 in words is "two trillion, one billion, four hundred sixteen million, five thousand, one hundred twenty-eight".