4426449240192 has 256 divisors, whose sum is σ = 13566128209920. Its totient is φ = 1252644986880.

The previous prime is 4426449240181. The next prime is 4426449240259. The reversal of 4426449240192 is 2910429446244.

It is a happy 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, 119605563 + ... + 119642565.

It is an arithmetic number, because the mean of its divisors is an integer number (52992688320).

Almost surely, 2^{4426449240192} is an apocalyptic number.

4426449240192 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 4426449240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783064104960).

4426449240192 is an abundant number, since it is smaller than the sum of its proper divisors (9139678969728).

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

4426449240192 is a wasteful number, since it uses less digits than its factorization.

4426449240192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37451 (or 37439 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 4426449240192 in words is "four trillion, four hundred twenty-six billion, four hundred forty-nine million, two hundred forty thousand, one hundred ninety-two".