4412229293472 has 768 divisors, whose sum is σ = 16571386073088. Its totient is φ = 989249863680.

The previous prime is 4412229293443. The next prime is 4412229293531. The reversal of 4412229293472 is 2743929222144.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 256471623 + ... + 256488825.

It is an arithmetic number, because the mean of its divisors is an integer number (21577325616).

Almost surely, 2^{4412229293472} is an apocalyptic number.

4412229293472 is a gapful number since it is divisible by the number (42) 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 4412229293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285693036544).

4412229293472 is an abundant number, since it is smaller than the sum of its proper divisors (12159156779616).

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

4412229293472 is a wasteful number, since it uses less digits than its factorization.

4412229293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17421 (or 17413 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 4412229293472 in words is "four trillion, four hundred twelve billion, two hundred twenty-nine million, two hundred ninety-three thousand, four hundred seventy-two".