1282416221628 has 144 divisors (see below), whose sum is σ = 3542013296640. Its totient is φ = 389858832000.

The previous prime is 1282416221557. The next prime is 1282416221657. The reversal of 1282416221628 is 8261226142821.

It is a happy number.

1282416221628 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 4 + 1 + 622 + 16 + 2 + 8 = 666.

It is a super-2 number, since 2×1282416221628² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1634053 + ... + 2288003.

It is an arithmetic number, because the mean of its divisors is an integer number (24597314560).

Almost surely, 2^{1282416221628} is an apocalyptic number.

1282416221628 is a gapful number since it is divisible by the number (18) 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 1282416221628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771006648320).

1282416221628 is an abundant number, since it is smaller than the sum of its proper divisors (2259597075012).

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

1282416221628 is a wasteful number, since it uses less digits than its factorization.

1282416221628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654088 (or 654083 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 1282416221628 in words is "one trillion, two hundred eighty-two billion, four hundred sixteen million, two hundred twenty-one thousand, six hundred twenty-eight".