4065631920 has 480 divisors, whose sum is σ = 16488230400. Its totient is φ = 918038016.

The previous prime is 4065631903. The next prime is 4065631931. The reversal of 4065631920 is 291365604.

It is a happy number.

4065631920 is a `hidden beast` number, since 4 + 0 + 6 + 563 + 1 + 92 + 0 = 666.

4065631920 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 Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11324701 + ... + 11325059.

It is an arithmetic number, because the mean of its divisors is an integer number (34350480).

Almost surely, 2^4065631920 is an apocalyptic number.

4065631920 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 4065631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244115200).

4065631920 is an abundant number, since it is smaller than the sum of its proper divisors (12422598480).

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

4065631920 is a wasteful number, since it uses less digits than its factorization.

4065631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4065631920 is about 63762.3079883406. The cubic root of 4065631920 is about 1596.0360102678.

The spelling of 4065631920 in words is "four billion, sixty-five million, six hundred thirty-one thousand, nine hundred twenty".