4182243840 has 400 divisors, whose sum is σ = 15222338208. Its totient is φ = 1101828096.

The previous prime is 4182243643. The next prime is 4182243859. The reversal of 4182243840 is 483422814.

4182243840 is a `hidden beast` number, since 4 + 182 + 2 + 438 + 40 = 666.

4182243840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4182243795 and 4182243804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50388439 + ... + 50388521.

Almost surely, 2^4182243840 is an apocalyptic number.

4182243840 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 4182243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611169104).

4182243840 is an abundant number, since it is smaller than the sum of its proper divisors (11040094368).

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

4182243840 is an frugal number, since it uses more digits than its factorization.

4182243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4182243840 is about 64670.2701401502. The cubic root of 4182243840 is about 1611.1517599926.

The spelling of 4182243840 in words is "four billion, one hundred eighty-two million, two hundred forty-three thousand, eight hundred forty".