4128281636000 has 96 divisors (see below), whose sum is σ = 10390583221200. Its totient is φ = 1611036672000.

The previous prime is 4128281635993. The next prime is 4128281636021. The reversal of 4128281636000 is 6361828214.

It can be written as a sum of positive squares in 8 ways, for example, as 208531049104 + 3919750586896 = 456652^2 + 1979836^2 .

It is a super-2 number, since 2×4128281636000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 12422225 + ... + 12750224.

Almost surely, 2^{4128281636000} is an apocalyptic number.

4128281636000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128281636000 is an abundant number, since it is smaller than the sum of its proper divisors (6262301585200).

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

4128281636000 is a wasteful number, since it uses less digits than its factorization.

4128281636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25172515 (or 25172497 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 4128281636000 in words is "four trillion, one hundred twenty-eight billion, two hundred eighty-one million, six hundred thirty-six thousand".