40003200064 has 63 divisors (see below), whose sum is σ = 83059183767. Its totient is φ = 19114364544.

The previous prime is 40003200047. The next prime is 40003200067. The reversal of 40003200064 is 46000230004.

The square root of 40003200064 is 200008.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40003200067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36800929 + ... + 36802015.

Almost surely, 2^40003200064 is an apocalyptic number.

40003200064 is the 200008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40003200064

40003200064 is an abundant number, since it is smaller than the sum of its proper divisors (43055983703).

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

40003200064 is an frugal number, since it uses more digits than its factorization.

40003200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Multiplying 40003200064 by its product of nonzero digits (576), we get a square (23041843236864 = 4800192²).

Adding to 40003200064 its reverse (46000230004), we get a palindrome (86003430068).

The spelling of 40003200064 in words is "forty billion, three million, two hundred thousand, sixty-four".