10282216388400 has 1920 divisors, whose sum is σ = 43551105408000. Its totient is φ = 2277310464000.

The previous prime is 10282216388393. The next prime is 10282216388413. The reversal of 10282216388400 is 488361228201.

10282216388400 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 2 + 2 + 1 + 638 + 8 + 4 + 0 + 0 = 666.

10282216388400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 7297526896 + ... + 7297528304.

It is an arithmetic number, because the mean of its divisors is an integer number (22682867400).

Almost surely, 2^{10282216388400} is an apocalyptic number.

10282216388400 is a gapful number since it is divisible by the number (10) 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 10282216388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775552704000).

10282216388400 is an abundant number, since it is smaller than the sum of its proper divisors (33268889019600).

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

10282216388400 is a wasteful number, since it uses less digits than its factorization.

10282216388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1563 counting only the distinct ones).

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

The spelling of 10282216388400 in words is "ten trillion, two hundred eighty-two billion, two hundred sixteen million, three hundred eighty-eight thousand, four hundred".