4061312640 has 384 divisors, whose sum is σ = 17486651520. Its totient is φ = 843816960.

The previous prime is 4061312639. The next prime is 4061312663. The reversal of 4061312640 is 462131604.

4061312640 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 3 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438942 + ... + 448098.

It is an arithmetic number, because the mean of its divisors is an integer number (45538155).

Almost surely, 2^4061312640 is an apocalyptic number.

4061312640 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 4061312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743325760).

4061312640 is an abundant number, since it is smaller than the sum of its proper divisors (13425338880).

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

4061312640 is a wasteful number, since it uses less digits than its factorization.

4061312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4061312640 is about 63728.4288210529. The cubic root of 4061312640 is about 1595.4706066383.

The spelling of 4061312640 in words is "four billion, sixty-one million, three hundred twelve thousand, six hundred forty".