4083228490000 has 375 divisors, whose sum is σ = 10939933674835. Its totient is φ = 1475919280000.

The previous prime is 4083228489983. The next prime is 4083228490001. The reversal of 4083228490000 is 948223804.

The square root of 4083228490000 is 2020700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 320125113616 + 3763103376384 = 565796^2 + 1939872^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4083228490001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 24450469917 + ... + 24450470083.

Almost surely, 2^{4083228490000} is an apocalyptic number.

4083228490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4083228490000 is the 2020700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083228490000

4083228490000 is an abundant number, since it is smaller than the sum of its proper divisors (6856705184835).

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

4083228490000 is an frugal number, since it uses more digits than its factorization.

4083228490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 4083228490000 in words is "four trillion, eighty-three billion, two hundred twenty-eight million, four hundred ninety thousand".