4226844628440 has 1152 divisors, whose sum is σ = 17639734694400. Its totient is φ = 857309184000.

The previous prime is 4226844628439. The next prime is 4226844628471. The reversal of 4226844628440 is 448264486224.

4226844628440 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 8 + 4 + 4 + 628 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3473166712 + ... + 3473167928.

It is an arithmetic number, because the mean of its divisors is an integer number (15312269700).

Almost surely, 2^{4226844628440} is an apocalyptic number.

4226844628440 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 4226844628440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819867347200).

4226844628440 is an abundant number, since it is smaller than the sum of its proper divisors (13412890065960).

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

4226844628440 is a wasteful number, since it uses less digits than its factorization.

4226844628440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 4226844628440 in words is "four trillion, two hundred twenty-six billion, eight hundred forty-four million, six hundred twenty-eight thousand, four hundred forty".