1985126416 has 240 divisors, whose sum is σ = 5104339968. Its totient is φ = 740275200.

The previous prime is 1985126383. The next prime is 1985126461. The reversal of 1985126416 is 6146215891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19273021 + ... + 19273123.

Almost surely, 2^1985126416 is an apocalyptic number.

1985126416 is a gapful number since it is divisible by the number (16) 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 1985126416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552169984).

1985126416 is an abundant number, since it is smaller than the sum of its proper divisors (3119213552).

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

1985126416 is a wasteful number, since it uses less digits than its factorization.

1985126416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 1985126416 is about 44554.7575013039. The cubic root of 1985126416 is about 1256.7900184820.

The spelling of 1985126416 in words is "one billion, nine hundred eighty-five million, one hundred twenty-six thousand, four hundred sixteen".