4000456650 has 192 divisors, whose sum is σ = 10924300800. Its totient is φ = 965157120.

The previous prime is 4000456627. The next prime is 4000456651. The reversal of 4000456650 is 566540004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4000456651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6221229 + ... + 6221871.

It is an arithmetic number, because the mean of its divisors is an integer number (56897400).

Almost surely, 2^4000456650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000456650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462150400).

4000456650 is an abundant number, since it is smaller than the sum of its proper divisors (6923844150).

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

4000456650 is a wasteful number, since it uses less digits than its factorization.

4000456650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4000456650 is about 63249.1632355717. The cubic root of 4000456650 is about 1587.4614568938.

Adding to 4000456650 its reverse (566540004), we get a palindrome (4566996654).

The spelling of 4000456650 in words is "four billion, four hundred fifty-six thousand, six hundred fifty".