4155338880 has 768 divisors, whose sum is σ = 18605583360. Its totient is φ = 860958720.

The previous prime is 4155338879. The next prime is 4155338881. The reversal of 4155338880 is 888335514.

4155338880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4155338879) and next prime (4155338881).

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

It is not an unprimeable number, because it can be changed into a prime (4155338881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974867 + ... + 11975213.

It is an arithmetic number, because the mean of its divisors is an integer number (24226020).

Almost surely, 2^4155338880 is an apocalyptic number.

4155338880 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 4155338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302791680).

4155338880 is an abundant number, since it is smaller than the sum of its proper divisors (14450244480).

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

4155338880 is a wasteful number, since it uses less digits than its factorization.

4155338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 4155338880 is about 64461.9180602005. The cubic root of 4155338880 is about 1607.6894031419.

The spelling of 4155338880 in words is "four billion, one hundred fifty-five million, three hundred thirty-eight thousand, eight hundred eighty".