4218985440 has 216 divisors, whose sum is σ = 14953989960. Its totient is φ = 1124782848.

The previous prime is 4218985417. The next prime is 4218985481. The reversal of 4218985440 is 445898124.

4218985440 is a `hidden beast` number, since 4 + 2 + 18 + 98 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1047751 + ... + 1051769.

It is an arithmetic number, because the mean of its divisors is an integer number (69231435).

Almost surely, 2^4218985440 is an apocalyptic number.

4218985440 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 4218985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476994980).

4218985440 is an abundant number, since it is smaller than the sum of its proper divisors (10735004520).

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

4218985440 is an frugal number, since it uses more digits than its factorization.

4218985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4218985440 is about 64953.7176765118. The cubic root of 4218985440 is about 1615.8560756376.

The spelling of 4218985440 in words is "four billion, two hundred eighteen million, nine hundred eighty-five thousand, four hundred forty".