4103914416 has 320 divisors, whose sum is σ = 13055164416. Its totient is φ = 1086336000.

The previous prime is 4103914411. The next prime is 4103914457. The reversal of 4103914416 is 6144193014.

4103914416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4103914416² = 33684227067705242112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4103914411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40632766 + ... + 40632866.

Almost surely, 2^4103914416 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 4103914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527582208).

4103914416 is an abundant number, since it is smaller than the sum of its proper divisors (8951250000).

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

4103914416 is a wasteful number, since it uses less digits than its factorization.

4103914416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4103914416 is about 64061.8015357046. The cubic root of 4103914416 is about 1601.0298598923.

It can be divided in two parts, 41039 and 14416, that added together give a palindrome (55455).

The spelling of 4103914416 in words is "four billion, one hundred three million, nine hundred fourteen thousand, four hundred sixteen".