4011481152 has 224 divisors, whose sum is σ = 14064691200. Its totient is φ = 1096229376.

The previous prime is 4011481147. The next prime is 4011481163. The reversal of 4011481152 is 2511841104.

It is a happy number.

4011481152 is a `hidden beast` number, since 401 + 148 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270999 + ... + 285417.

It is an arithmetic number, because the mean of its divisors is an integer number (62788800).

Almost surely, 2^4011481152 is an apocalyptic number.

4011481152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032345600).

4011481152 is an abundant number, since it is smaller than the sum of its proper divisors (10053210048).

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

4011481152 is a wasteful number, since it uses less digits than its factorization.

4011481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14470 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 4011481152 is about 63336.2546413979. The cubic root of 4011481152 is about 1588.9183672458.

The spelling of 4011481152 in words is "four billion, eleven million, four hundred eighty-one thousand, one hundred fifty-two".