4065146077050 has 144 divisors (see below), whose sum is σ = 11079201332160. Its totient is φ = 1068415488000.

The previous prime is 4065146077021. The next prime is 4065146077073. The reversal of 4065146077050 is 507706415604.

4065146077050 is a `hidden beast` number, since 4 + 0 + 6 + 514 + 60 + 7 + 70 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4065146076987 and 4065146077005.

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, 104105530 + ... + 104144570.

It is an arithmetic number, because the mean of its divisors is an integer number (76938898140).

Almost surely, 2^{4065146077050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065146077050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539600666080).

4065146077050 is an abundant number, since it is smaller than the sum of its proper divisors (7014055255110).

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

4065146077050 is a wasteful number, since it uses less digits than its factorization.

4065146077050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42389 (or 42381 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 4065146077050 in words is "four trillion, sixty-five billion, one hundred forty-six million, seventy-seven thousand, fifty".