38442269144799 has 48 divisors (see below), whose sum is σ = 59897970647424. Its totient is φ = 23617681920000.

The previous prime is 38442269144791. The next prime is 38442269144821. The reversal of 38442269144799 is 99744196224483.

38442269144799 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 2 + 2 + 6 + 91 + 447 + 99 = 666.

It is not a de Polignac number, because 38442269144799 - 2³ = 38442269144791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38442269144791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279436159 + ... + 279573695.

It is an arithmetic number, because the mean of its divisors is an integer number (1247874388488).

Almost surely, 2^{38442269144799} is an apocalyptic number.

38442269144799 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38442269144799 is a deficient number, since it is larger than the sum of its proper divisors (21455701502625).

38442269144799 is a wasteful number, since it uses less digits than its factorization.

38442269144799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141488 (or 141485 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 38442269144799 in words is "thirty-eight trillion, four hundred forty-two billion, two hundred sixty-nine million, one hundred forty-four thousand, seven hundred ninety-nine".