4130379540 has 360 divisors, whose sum is σ = 15337658952. Its totient is φ = 927521280.

The previous prime is 4130379529. The next prime is 4130379541. The reversal of 4130379540 is 459730314.

4130379540 is a `hidden beast` number, since 41 + 3 + 0 + 3 + 79 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256064004 + 3874315536 = 16002^2 + 62244^2 .

It is a super-2 number, since 2×4130379540² = 34120070288901223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4130379495 and 4130379504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130379541) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4841754 + ... + 4842606.

Almost surely, 2^4130379540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130379540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668829476).

4130379540 is an abundant number, since it is smaller than the sum of its proper divisors (11207279412).

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

4130379540 is a wasteful number, since it uses less digits than its factorization.

4130379540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4130379540 is about 64268.0289101821. The cubic root of 4130379540 is about 1604.4640362588.

The spelling of 4130379540 in words is "four billion, one hundred thirty million, three hundred seventy-nine thousand, five hundred forty".