4064406528 has 528 divisors, whose sum is σ = 14218036224. Its totient is φ = 1021870080.

The previous prime is 4064406509. The next prime is 4064406551. The reversal of 4064406528 is 8256044604.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 60662751 + ... + 60662817.

Almost surely, 2^4064406528 is an apocalyptic number.

4064406528 is a gapful number since it is divisible by the number (48) 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 4064406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109018112).

4064406528 is an abundant number, since it is smaller than the sum of its proper divisors (10153629696).

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

4064406528 is a wasteful number, since it uses less digits than its factorization.

4064406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4064406528 is about 63752.6982017232. The cubic root of 4064406528 is about 1595.8756443582.

The spelling of 4064406528 in words is "four billion, sixty-four million, four hundred six thousand, five hundred twenty-eight".