4016428416 has 896 divisors, whose sum is σ = 16482090240. Its totient is φ = 940584960.

The previous prime is 4016428397. The next prime is 4016428469. The reversal of 4016428416 is 6148246104.

It is a happy number.

4016428416 is a `hidden beast` number, since 4 + 0 + 1 + 642 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4016428416² = 32263394441704538112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 93405291 + ... + 93405333.

It is an arithmetic number, because the mean of its divisors is an integer number (18395190).

Almost surely, 2^4016428416 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 4016428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241045120).

4016428416 is an abundant number, since it is smaller than the sum of its proper divisors (12465661824).

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

4016428416 is a wasteful number, since it uses less digits than its factorization.

4016428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4016428416 is about 63375.2981531448. The cubic root of 4016428416 is about 1589.5712906125.

The spelling of 4016428416 in words is "four billion, sixteen million, four hundred twenty-eight thousand, four hundred sixteen".