4012281220800 has 1344 divisors, whose sum is σ = 15086634393600. Its totient is φ = 927933726720.

The previous prime is 4012281220799. The next prime is 4012281220861. The reversal of 4012281220800 is 80221822104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6698298901 + ... + 6698299499.

It is an arithmetic number, because the mean of its divisors is an integer number (11225174400).

Almost surely, 2^{4012281220800} is an apocalyptic number.

4012281220800 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 4012281220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543317196800).

4012281220800 is an abundant number, since it is smaller than the sum of its proper divisors (11074353172800).

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

4012281220800 is a wasteful number, since it uses less digits than its factorization.

4012281220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 4012281220800 in words is "four trillion, twelve billion, two hundred eighty-one million, two hundred twenty thousand, eight hundred".