4050049600 has 189 divisors, whose sum is σ = 10486006587. Its totient is φ = 1539578880.

The previous prime is 4050049583. The next prime is 4050049613. The reversal of 4050049600 is 69400504.

The square root of 4050049600 is 63640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 384473664 + 3665575936 = 19608^2 + 60544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94187179 + ... + 94187221.

Almost surely, 2^4050049600 is an apocalyptic number.

4050049600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4050049600 is the 63640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050049600

4050049600 is an abundant number, since it is smaller than the sum of its proper divisors (6435956987).

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

4050049600 is an equidigital number, since it uses as much as digits as its factorization.

4050049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 4050049600 is about 1593.9943608912.

It can be divided in two parts, 40500 and 49600, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 4050049600 in words is "four billion, fifty million, forty-nine thousand, six hundred".