42218653800960 has 3200 divisors, whose sum is σ = 196562809175040. Its totient is φ = 8416939474944.

The previous prime is 42218653800889. The next prime is 42218653800991. The reversal of 42218653800960 is 6900835681224.

42218653800960 is a `hidden beast` number, since 4 + 2 + 2 + 18 + 6 + 538 + 0 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42218653800897 and 42218653800906.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38626398174 + ... + 38626399266.

Almost surely, 2^{42218653800960} is an apocalyptic number.

42218653800960 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 42218653800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98281404587520).

42218653800960 is an abundant number, since it is smaller than the sum of its proper divisors (154344155374080).

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

42218653800960 is a wasteful number, since it uses less digits than its factorization.

42218653800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 42218653800960 in words is "forty-two trillion, two hundred eighteen billion, six hundred fifty-three million, eight hundred thousand, nine hundred sixty".