4018734720 has 1536 divisors, whose sum is σ = 20209512960. Its totient is φ = 707788800.

The previous prime is 4018734719. The next prime is 4018734739. The reversal of 4018734720 is 274378104.

It is a happy number.

4018734720 is a `hidden beast` number, since 4 + 0 + 187 + 3 + 472 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 98017900 + ... + 98017940.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^4018734720 is an apocalyptic number.

4018734720 is a gapful number since it is divisible by the number (40) 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 4018734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104756480).

4018734720 is an abundant number, since it is smaller than the sum of its proper divisors (16190778240).

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

4018734720 is a wasteful number, since it uses less digits than its factorization.

4018734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4018734720 is about 63393.4911485398. The cubic root of 4018734720 is about 1589.8754856808.

The spelling of 4018734720 in words is "four billion, eighteen million, seven hundred thirty-four thousand, seven hundred twenty".