4130213040 has 240 divisors, whose sum is σ = 14532141312. Its totient is φ = 1049258496.

The previous prime is 4130213033. The next prime is 4130213047. The reversal of 4130213040 is 403120314.

4130213040 is a `hidden beast` number, since 413 + 0 + 213 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4130213033) and next prime (4130213047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4130213047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7335799 + ... + 7336361.

Almost surely, 2^4130213040 is an apocalyptic number.

4130213040 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 4130213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266070656).

4130213040 is an abundant number, since it is smaller than the sum of its proper divisors (10401928272).

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

4130213040 is a wasteful number, since it uses less digits than its factorization.

4130213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4130213040 is about 64266.7335407674. The cubic root of 4130213040 is about 1604.4424767509.

Adding to 4130213040 its reverse (403120314), we get a palindrome (4533333354).

The spelling of 4130213040 in words is "four billion, one hundred thirty million, two hundred thirteen thousand, forty".