4220461808640 has 1408 divisors, whose sum is σ = 19055124080640. Its totient is φ = 860317286400.

The previous prime is 4220461808621. The next prime is 4220461808659. The reversal of 4220461808640 is 468081640224.

4220461808640 is a `hidden beast` number, since 4 + 2 + 20 + 4 + 618 + 0 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4220461808621) and next prime (4220461808659).

It is a tau number, because it is divible by the number of its divisors (1408).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 564153700 + ... + 564161180.

Almost surely, 2^{4220461808640} is an apocalyptic number.

4220461808640 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 4220461808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9527562040320).

4220461808640 is an abundant number, since it is smaller than the sum of its proper divisors (14834662272000).

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

4220461808640 is a wasteful number, since it uses less digits than its factorization.

4220461808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4220461808640 in words is "four trillion, two hundred twenty billion, four hundred sixty-one million, eight hundred eight thousand, six hundred forty".