4218812640 has 192 divisors, whose sum is σ = 16875371520. Its totient is φ = 964293120.

The previous prime is 4218812581. The next prime is 4218812683. The reversal of 4218812640 is 462188124.

4218812640 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 8 + 1 + 2 + 640 = 666.

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 = 4218812595 and 4218812604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39516 + ... + 99995.

It is an arithmetic number, because the mean of its divisors is an integer number (87892560).

Almost surely, 2^4218812640 is an apocalyptic number.

4218812640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4218812640 is an abundant number, since it is smaller than the sum of its proper divisors (12656558880).

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

4218812640 is a wasteful number, since it uses less digits than its factorization.

4218812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139542 (or 139528 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4218812640 is about 64952.3874849878. The cubic root of 4218812640 is about 1615.8340147459.

The spelling of 4218812640 in words is "four billion, two hundred eighteen million, eight hundred twelve thousand, six hundred forty".