4407820314912 has 1440 divisors, whose sum is σ = 16340338852992. Its totient is φ = 1140852916224.

The previous prime is 4407820314907. The next prime is 4407820314973. The reversal of 4407820314912 is 2194130287044.

4407820314912 is a `hidden beast` number, since 4 + 40 + 78 + 20 + 31 + 491 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25478730058 + ... + 25478730230.

Almost surely, 2^{4407820314912} is an apocalyptic number.

4407820314912 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 4407820314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170169426496).

4407820314912 is an abundant number, since it is smaller than the sum of its proper divisors (11932518538080).

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

4407820314912 is a wasteful number, since it uses less digits than its factorization.

4407820314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4407820314912 in words is "four trillion, four hundred seven billion, eight hundred twenty million, three hundred fourteen thousand, nine hundred twelve".