4180900416 has 336 divisors, whose sum is σ = 14217627648. Its totient is φ = 1060899840.

The previous prime is 4180900397. The next prime is 4180900439. The reversal of 4180900416 is 6140090814.

4180900416 is digitally balanced in base 2, because in such base 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 (336).

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

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, 7643055 + ... + 7643601.

It is an arithmetic number, because the mean of its divisors is an integer number (42314368).

Almost surely, 2^4180900416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4180900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108813824).

4180900416 is an abundant number, since it is smaller than the sum of its proper divisors (10036727232).

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

4180900416 is a wasteful number, since it uses less digits than its factorization.

4180900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4180900416 is about 64659.8825857270. The cubic root of 4180900416 is about 1610.9792296618.

The spelling of 4180900416 in words is "four billion, one hundred eighty million, nine hundred thousand, four hundred sixteen".