4380074160 has 480 divisors, whose sum is σ = 17668869120. Its totient is φ = 877578240.

The previous prime is 4380074141. The next prime is 4380074197. The reversal of 4380074160 is 614700834.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5894749 + ... + 5895491.

It is an arithmetic number, because the mean of its divisors is an integer number (36810144).

Almost surely, 2^4380074160 is an apocalyptic number.

4380074160 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 4380074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

4380074160 is an abundant number, since it is smaller than the sum of its proper divisors (13288794960).

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

4380074160 is a wasteful number, since it uses less digits than its factorization.

4380074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4380074160 is about 66182.1287055652. The cubic root of 4380074160 is about 1636.1652122814.

Adding to 4380074160 its reverse (614700834), we get a palindrome (4994774994).

The spelling of 4380074160 in words is "four billion, three hundred eighty million, seventy-four thousand, one hundred sixty".