4145412096 has 432 divisors, whose sum is σ = 14603425200. Its totient is φ = 1109458944.

The previous prime is 4145412059. The next prime is 4145412113. The reversal of 4145412096 is 6902145414.

4145412096 is a `hidden beast` number, since 4 + 1 + 4 + 541 + 20 + 96 = 666.

It is a super-2 number, since 2×4145412096² = 34368882891326226432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4145412096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46577620 + ... + 46577708.

It is an arithmetic number, because the mean of its divisors is an integer number (33804225).

Almost surely, 2^4145412096 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 4145412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301712600).

4145412096 is an abundant number, since it is smaller than the sum of its proper divisors (10458013104).

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

4145412096 is a wasteful number, since it uses less digits than its factorization.

4145412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4145412096 is about 64384.8747455487. The cubic root of 4145412096 is about 1606.4081670246.

The spelling of 4145412096 in words is "four billion, one hundred forty-five million, four hundred twelve thousand, ninety-six".