4064791410 has 120 divisors (see below), whose sum is σ = 11536129836. Its totient is φ = 1026820800.

The previous prime is 4064791363. The next prime is 4064791411. The reversal of 4064791410 is 141974604.

4064791410 is a `hidden beast` number, since 4 + 0 + 647 + 9 + 1 + 4 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4024760481 + 40030929 = 63441^2 + 6327^2 .

It is not an unprimeable number, because it can be changed into a prime (4064791411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 285460 + ... + 299360.

Almost surely, 2^4064791410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064791410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768064918).

4064791410 is an abundant number, since it is smaller than the sum of its proper divisors (7471338426).

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

4064791410 is a wasteful number, since it uses less digits than its factorization.

4064791410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4064791410 is about 63755.7166848589. The cubic root of 4064791410 is about 1595.9260169787.

The spelling of 4064791410 in words is "four billion, sixty-four million, seven hundred ninety-one thousand, four hundred ten".