4024347875328 has 576 divisors, whose sum is σ = 12417854117760. Its totient is φ = 1149242572800.

The previous prime is 4024347875279. The next prime is 4024347875333. The reversal of 4024347875328 is 8235787434204.

It is a super-2 number, since 2×4024347875328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6855788251 + ... + 6855788837.

It is an arithmetic number, because the mean of its divisors is an integer number (21558774510).

Almost surely, 2^{4024347875328} is an apocalyptic number.

4024347875328 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 4024347875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208927058880).

4024347875328 is an abundant number, since it is smaller than the sum of its proper divisors (8393506242432).

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

4024347875328 is a wasteful number, since it uses less digits than its factorization.

4024347875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 4024347875328 in words is "four trillion, twenty-four billion, three hundred forty-seven million, eight hundred seventy-five thousand, three hundred twenty-eight".