4182240456 has 48 divisors (see below), whose sum is σ = 11334382800. Its totient is φ = 1393159392.

The previous prime is 4182240427. The next prime is 4182240463. The reversal of 4182240456 is 6540422814.

4182240456 is a `hidden beast` number, since 4 + 182 + 24 + 0 + 456 = 666.

It is a super-2 number, since 2×4182240456² = 34982270463606175872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4182240456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95295 + ... + 132081.

It is an arithmetic number, because the mean of its divisors is an integer number (236132975).

Almost surely, 2^4182240456 is an apocalyptic number.

It is an amenable number.

4182240456 is an abundant number, since it is smaller than the sum of its proper divisors (7152142344).

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

4182240456 is a wasteful number, since it uses less digits than its factorization.

4182240456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38378 (or 38371 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4182240456 is about 64670.2439766544. The cubic root of 4182240456 is about 1611.1513254460.

The spelling of 4182240456 in words is "four billion, one hundred eighty-two million, two hundred forty thousand, four hundred fifty-six".