4018668400 has 30 divisors (see below), whose sum is σ = 9654851792. Its totient is φ = 1607467200.

The previous prime is 4018668361. The next prime is 4018668427. The reversal of 4018668400 is 48668104.

It is a super-2 number, since 2×4018668400² = 32299391418317120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4018668400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5022936 + ... + 5023735.

Almost surely, 2^4018668400 is an apocalyptic number.

4018668400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4018668400 is an abundant number, since it is smaller than the sum of its proper divisors (5636183392).

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

4018668400 is a wasteful number, since it uses less digits than its factorization.

4018668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046689 (or 10046678 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 4018668400 is about 63392.9680642893. The cubic root of 4018668400 is about 1589.8667398831.

The spelling of 4018668400 in words is "four billion, eighteen million, six hundred sixty-eight thousand, four hundred".