4011412896 has 288 divisors, whose sum is σ = 12517424640. Its totient is φ = 1263911040.

The previous prime is 4011412861. The next prime is 4011412901. The reversal of 4011412896 is 6982141104.

4011412896 is a `hidden beast` number, since 401 + 141 + 28 + 96 = 666.

4011412896 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 (288).

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 4011412896.

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, 93288651 + ... + 93288693.

It is an arithmetic number, because the mean of its divisors is an integer number (43463280).

Almost surely, 2^4011412896 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 4011412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258712320).

4011412896 is an abundant number, since it is smaller than the sum of its proper divisors (8506011744).

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

4011412896 is an frugal number, since it uses more digits than its factorization.

4011412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4011412896 is about 63335.7158008023. The cubic root of 4011412896 is about 1588.9093552937.

The spelling of 4011412896 in words is "four billion, eleven million, four hundred twelve thousand, eight hundred ninety-six".