4123938440160 has 2304 divisors, whose sum is σ = 18706136537088. Its totient is φ = 802632499200.

The previous prime is 4123938440131. The next prime is 4123938440179. The reversal of 4123938440160 is 610448393214.

4123938440160 is a `hidden beast` number, since 4 + 1 + 23 + 93 + 84 + 401 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17111777640 + ... + 17111777880.

It is an arithmetic number, because the mean of its divisors is an integer number (8118982872).

Almost surely, 2^{4123938440160} is an apocalyptic number.

4123938440160 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 4123938440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353068268544).

4123938440160 is an abundant number, since it is smaller than the sum of its proper divisors (14582198096928).

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

4123938440160 is a wasteful number, since it uses less digits than its factorization.

4123938440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4123938440160 in words is "four trillion, one hundred twenty-three billion, nine hundred thirty-eight million, four hundred forty thousand, one hundred sixty".