4485214218240 has 576 divisors, whose sum is σ = 18423711895680. Its totient is φ = 1025187840000.

The previous prime is 4485214218151. The next prime is 4485214218257. The reversal of 4485214218240 is 428124125844.

4485214218240 is a `hidden beast` number, since 4 + 4 + 8 + 521 + 4 + 2 + 1 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17289490 + ... + 17546990.

It is an arithmetic number, because the mean of its divisors is an integer number (31985610930).

Almost surely, 2^{4485214218240} is an apocalyptic number.

4485214218240 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 4485214218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211855947840).

4485214218240 is an abundant number, since it is smaller than the sum of its proper divisors (13938497677440).

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

4485214218240 is an equidigital number, since it uses as much as digits as its factorization.

4485214218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257550 (or 257518 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 4485214218240 in words is "four trillion, four hundred eighty-five billion, two hundred fourteen million, two hundred eighteen thousand, two hundred forty".