4113426240 has 784 divisors, whose sum is σ = 18389681280. Its totient is φ = 851005440.

The previous prime is 4113426227. The next prime is 4113426253. The reversal of 4113426240 is 426243114.

It is a happy number.

4113426240 is a `hidden beast` number, since 4 + 1 + 1 + 34 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4113426227) and next prime (4113426253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17962446 + ... + 17962674.

Almost surely, 2^4113426240 is an apocalyptic number.

4113426240 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 4113426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194840640).

4113426240 is an abundant number, since it is smaller than the sum of its proper divisors (14276255040).

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

4113426240 is a wasteful number, since it uses less digits than its factorization.

4113426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4113426240 is about 64135.9980042410. The cubic root of 4113426240 is about 1602.2658314070.

Adding to 4113426240 its reverse (426243114), we get a palindrome (4539669354).

The spelling of 4113426240 in words is "four billion, one hundred thirteen million, four hundred twenty-six thousand, two hundred forty".