4018472640 has 896 divisors, whose sum is σ = 18434304000. Its totient is φ = 800243712.

The previous prime is 4018472581. The next prime is 4018472671. The reversal of 4018472640 is 462748104.

4018472640 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 4 + 7 + 2 + 640 = 666.

It is a super-2 number, since 2×4018472640² = 32296244716857139200, 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 = 4018472595 and 4018472604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938426 + ... + 14938694.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^4018472640 is an apocalyptic number.

4018472640 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 4018472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152000).

4018472640 is an abundant number, since it is smaller than the sum of its proper divisors (14415831360).

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

4018472640 is a wasteful number, since it uses less digits than its factorization.

4018472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4018472640 is about 63391.4240256519. The cubic root of 4018472640 is about 1589.8409239216.

The spelling of 4018472640 in words is "four billion, eighteen million, four hundred seventy-two thousand, six hundred forty".