4050214560 has 432 divisors, whose sum is σ = 16358843592. Its totient is φ = 909619200.

The previous prime is 4050214541. The next prime is 4050214607. The reversal of 4050214560 is 654120504.

4050214560 is a `hidden beast` number, since 40 + 50 + 2 + 14 + 560 = 666.

4050214560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2349147024 + 1701067536 = 48468^2 + 41244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4303690 + ... + 4304630.

Almost surely, 2^4050214560 is an apocalyptic number.

4050214560 is a gapful number since it is divisible by the number (40) 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 4050214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179421796).

4050214560 is an abundant number, since it is smaller than the sum of its proper divisors (12308629032).

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

4050214560 is a wasteful number, since it uses less digits than its factorization.

4050214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4050214560 is about 63641.2960270295. The cubic root of 4050214560 is about 1594.0160019216.

The spelling of 4050214560 in words is "four billion, fifty million, two hundred fourteen thousand, five hundred sixty".