4046434560 has 648 divisors, whose sum is σ = 17008205760. Its totient is φ = 869916672.

The previous prime is 4046434543. The next prime is 4046434621. The reversal of 4046434560 is 654346404.

4046434560 is a `hidden beast` number, since 4 + 0 + 4 + 64 + 34 + 560 = 666.

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 71 ways as a sum of consecutive naturals, for example, 29110971 + ... + 29111109.

Almost surely, 2^4046434560 is an apocalyptic number.

4046434560 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 4046434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504102880).

4046434560 is an abundant number, since it is smaller than the sum of its proper divisors (12961771200).

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

4046434560 is a wasteful number, since it uses less digits than its factorization.

4046434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4046434560 is about 63611.5913965372. The cubic root of 4046434560 is about 1593.5199577546.

The spelling of 4046434560 in words is "four billion, forty-six million, four hundred thirty-four thousand, five hundred sixty".