4144215044928 has 896 divisors, whose sum is σ = 14564855808000. Its totient is φ = 1011253248000.

The previous prime is 4144215044899. The next prime is 4144215044933. The reversal of 4144215044928 is 8294405124414.

4144215044928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1359203148 + ... + 1359206196.

Almost surely, 2^{4144215044928} is an apocalyptic number.

4144215044928 is a gapful number since it is divisible by the number (48) 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 4144215044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282427904000).

4144215044928 is an abundant number, since it is smaller than the sum of its proper divisors (10420640763072).

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

4144215044928 is a wasteful number, since it uses less digits than its factorization.

4144215044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 4144215044928 in words is "four trillion, one hundred forty-four billion, two hundred fifteen million, forty-four thousand, nine hundred twenty-eight".