4123738080 has 1152 divisors, whose sum is σ = 19305216000. Its totient is φ = 819624960.

The previous prime is 4123738051. The next prime is 4123738183. The reversal of 4123738080 is 808373214.

4123738080 is a `hidden beast` number, since 41 + 237 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179292949 + ... + 179292971.

It is an arithmetic number, because the mean of its divisors is an integer number (16758000).

Almost surely, 2^4123738080 is an apocalyptic number.

4123738080 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 4123738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608000).

4123738080 is an abundant number, since it is smaller than the sum of its proper divisors (15181477920).

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

4123738080 is a wasteful number, since it uses less digits than its factorization.

4123738080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4123738080 is about 64216.3381079924. The cubic root of 4123738080 is about 1603.6036068345.

The spelling of 4123738080 in words is "four billion, one hundred twenty-three million, seven hundred thirty-eight thousand, eighty".