4412283294720 has 352 divisors, whose sum is σ = 17077211935488. Its totient is φ = 949196685312.

The previous prime is 4412283294667. The next prime is 4412283294739. The reversal of 4412283294720 is 274923822144.

It is a super-3 number, since 3×4412283294720³ (a number of 39 digits) contains 333 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 4412283294720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620874 + ... + 3034806.

Almost surely, 2^{4412283294720} is an apocalyptic number.

4412283294720 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 4412283294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538605967744).

4412283294720 is an abundant number, since it is smaller than the sum of its proper divisors (12664928640768).

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

4412283294720 is a wasteful number, since it uses less digits than its factorization.

4412283294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413985 (or 2413967 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 4412283294720 in words is "four trillion, four hundred twelve billion, two hundred eighty-three million, two hundred ninety-four thousand, seven hundred twenty".