4282414348800 has 1440 divisors, whose sum is σ = 17645237007552. Its totient is φ = 909595115520.

The previous prime is 4282414348799. The next prime is 4282414348829. The reversal of 4282414348800 is 88434142824.

It is a super-2 number, since 2×4282414348800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4282414348800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2654936794 + ... + 2654938406.

Almost surely, 2^{4282414348800} is an apocalyptic number.

4282414348800 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 4282414348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822618503776).

4282414348800 is an abundant number, since it is smaller than the sum of its proper divisors (13362822658752).

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

4282414348800 is a wasteful number, since it uses less digits than its factorization.

4282414348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 4282414348800 in words is "four trillion, two hundred eighty-two billion, four hundred fourteen million, three hundred forty-eight thousand, eight hundred".