4220451284544 has 756 divisors, whose sum is σ = 14429590353360. Its totient is φ = 1166389632000.

The previous prime is 4220451284537. The next prime is 4220451284561. The reversal of 4220451284544 is 4454821540224.

4220451284544 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 4 + 512 + 84 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4220451284544.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22096603489 + ... + 22096603679.

Almost surely, 2^{4220451284544} is an apocalyptic number.

4220451284544 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 4220451284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214795176680).

4220451284544 is an abundant number, since it is smaller than the sum of its proper divisors (10209139068816).

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

4220451284544 is a wasteful number, since it uses less digits than its factorization.

4220451284544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 45.

The spelling of 4220451284544 in words is "four trillion, two hundred twenty billion, four hundred fifty-one million, two hundred eighty-four thousand, five hundred forty-four".