4222186085040 has 480 divisors, whose sum is σ = 16702760597760. Its totient is φ = 872431257600.

The previous prime is 4222186085011. The next prime is 4222186085153. The reversal of 4222186085040 is 405806812224.

It is a super-2 number, since 2×4222186085040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4222186084983 and 4222186085001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23064270 + ... + 23246610.

It is an arithmetic number, because the mean of its divisors is an integer number (34797417912).

Almost surely, 2^{4222186085040} is an apocalyptic number.

4222186085040 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 4222186085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351380298880).

4222186085040 is an abundant number, since it is smaller than the sum of its proper divisors (12480574512720).

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

4222186085040 is a wasteful number, since it uses less digits than its factorization.

4222186085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182561 (or 182548 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 4222186085040 in words is "four trillion, two hundred twenty-two billion, one hundred eighty-six million, eighty-five thousand, forty".