4000433516064 has 144 divisors (see below), whose sum is σ = 12060548194968. Its totient is φ = 1253462040576.

The previous prime is 4000433516029. The next prime is 4000433516087. The reversal of 4000433516064 is 4606153340004.

4000433516064 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 43 + 3 + 5 + 1 + 606 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3614181210000 + 386252306064 = 1901100^2 + 621492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389514 + ... + 4414710.

Almost surely, 2^{4000433516064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000433516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030274097484).

4000433516064 is an abundant number, since it is smaller than the sum of its proper divisors (8060114678904).

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

4000433516064 is a wasteful number, since it uses less digits than its factorization.

4000433516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026027 (or 1026016 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 4000433516064 its reverse (4606153340004), we get a palindrome (8606586856068).

The spelling of 4000433516064 in words is "four trillion, four hundred thirty-three million, five hundred sixteen thousand, sixty-four".