4004200464 has 40 divisors (see below), whose sum is σ = 11284566432. Its totient is φ = 1213393920.

The previous prime is 4004200441. The next prime is 4004200469. The reversal of 4004200464 is 4640024004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4004200469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3791329 + ... + 3792384.

Almost surely, 2^4004200464 is an apocalyptic number.

4004200464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004200464 is an abundant number, since it is smaller than the sum of its proper divisors (7280365968).

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

4004200464 is a wasteful number, since it uses less digits than its factorization.

4004200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583735 (or 7583729 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4004200464 is about 63278.7520736621. The cubic root of 4004200464 is about 1587.9565093297.

Adding to 4004200464 its reverse (4640024004), we get a palindrome (8644224468).

The spelling of 4004200464 in words is "four billion, four million, two hundred thousand, four hundred sixty-four".