4100388480 has 640 divisors, whose sum is σ = 16172956800. Its totient is φ = 985374720.

The previous prime is 4100388469. The next prime is 4100388511. The reversal of 4100388480 is 848830014.

4100388480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22653990 + ... + 22654170.

It is an arithmetic number, because the mean of its divisors is an integer number (25270245).

Almost surely, 2^4100388480 is an apocalyptic number.

4100388480 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 4100388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086478400).

4100388480 is an abundant number, since it is smaller than the sum of its proper divisors (12072568320).

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

4100388480 is a wasteful number, since it uses less digits than its factorization.

4100388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4100388480 is about 64034.2758216254. The cubic root of 4100388480 is about 1600.5712127149.

The spelling of 4100388480 in words is "four billion, one hundred million, three hundred eighty-eight thousand, four hundred eighty".