4221466414704 has 160 divisors (see below), whose sum is σ = 15107123796480. Its totient is φ = 1096484774400.

The previous prime is 4221466414699. The next prime is 4221466414727. The reversal of 4221466414704 is 4074146641224.

4221466414704 is a `hidden beast` number, since 4 + 22 + 146 + 6 + 414 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4221466414704.

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, 63420717 + ... + 63487244.

It is an arithmetic number, because the mean of its divisors is an integer number (94419523728).

Almost surely, 2^{4221466414704} is an apocalyptic number.

4221466414704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4221466414704 is an abundant number, since it is smaller than the sum of its proper divisors (10885657381776).

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

4221466414704 is a wasteful number, since it uses less digits than its factorization.

4221466414704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126907996 (or 126907984 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4221466414704 in words is "four trillion, two hundred twenty-one billion, four hundred sixty-six million, four hundred fourteen thousand, seven hundred four".