4122216545040 has 120 divisors (see below), whose sum is σ = 15102302462208. Its totient is φ = 999325221120.

The previous prime is 4122216545039. The next prime is 4122216545081. The reversal of 4122216545040 is 405456122214.

4122216545040 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 2 + 165 + 450 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 4122216544986 and 4122216545004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260233024 + ... + 260248863.

Almost surely, 2^{4122216545040} is an apocalyptic number.

4122216545040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122216545040 is an abundant number, since it is smaller than the sum of its proper divisors (10980085917168).

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

4122216545040 is a wasteful number, since it uses less digits than its factorization.

4122216545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520481917 (or 520481908 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4122216545040 in words is "four trillion, one hundred twenty-two billion, two hundred sixteen million, five hundred forty-five thousand, forty".