4011463680 has 176 divisors, whose sum is σ = 14663725440. Its totient is φ = 916881408.

The previous prime is 4011463619. The next prime is 4011463697. The reversal of 4011463680 is 863641104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88866 + ... + 126174.

Almost surely, 2^4011463680 is an apocalyptic number.

4011463680 is a gapful number since it is divisible by the number (40) 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 4011463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331862720).

4011463680 is an abundant number, since it is smaller than the sum of its proper divisors (10652261760).

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

4011463680 is a wasteful number, since it uses less digits than its factorization.

4011463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37344 (or 37326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4011463680 is about 63336.1167107678. The cubic root of 4011463680 is about 1588.9160603986.

The spelling of 4011463680 in words is "four billion, eleven million, four hundred sixty-three thousand, six hundred eighty".