4018638624 has 768 divisors, whose sum is σ = 15606743040. Its totient is φ = 870912000.

The previous prime is 4018638599. The next prime is 4018638641. The reversal of 4018638624 is 4268368104.

It is a super-2 number, since 2×4018638624² = 32298912780609226752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56600509 + ... + 56600579.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^4018638624 is an apocalyptic number.

4018638624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4018638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803371520).

4018638624 is an abundant number, since it is smaller than the sum of its proper divisors (11588104416).

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

4018638624 is a wasteful number, since it uses less digits than its factorization.

4018638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4018638624 is about 63392.7332113074. The cubic root of 4018638624 is about 1589.8628132102.

The spelling of 4018638624 in words is "four billion, eighteen million, six hundred thirty-eight thousand, six hundred twenty-four".