4216826088000 has 896 divisors, whose sum is σ = 16311140352000. Its totient is φ = 1064980224000.

The previous prime is 4216826087989. The next prime is 4216826088029. The reversal of 4216826088000 is 8806286124.

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 127 ways as a sum of consecutive naturals, for example, 314705301 + ... + 314718699.

Almost surely, 2^{4216826088000} is an apocalyptic number.

4216826088000 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 4216826088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155570176000).

4216826088000 is an abundant number, since it is smaller than the sum of its proper divisors (12094314264000).

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

4216826088000 is a wasteful number, since it uses less digits than its factorization.

4216826088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513 (or 13487 counting only the distinct ones).

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

The spelling of 4216826088000 in words is "four trillion, two hundred sixteen billion, eight hundred twenty-six million, eighty-eight thousand".