4140564480 has 456 divisors, whose sum is σ = 16030599312. Its totient is φ = 1019215872.

The previous prime is 4140564473. The next prime is 4140564503. The reversal of 4140564480 is 844650414.

It is a happy number.

4140564480 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 644 + 8 + 0 = 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 23 ways as a sum of consecutive naturals, for example, 318504954 + ... + 318504966.

Almost surely, 2^4140564480 is an apocalyptic number.

4140564480 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 4140564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015299656).

4140564480 is an abundant number, since it is smaller than the sum of its proper divisors (11890034832).

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

4140564480 is an frugal number, since it uses more digits than its factorization.

4140564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4140564480 is about 64347.2181216873. The cubic root of 4140564480 is about 1605.7817486149.

The spelling of 4140564480 in words is "four billion, one hundred forty million, five hundred sixty-four thousand, four hundred eighty".