4214411223440 has 80 divisors (see below), whose sum is σ = 10702269403776. Its totient is φ = 1530650803200.

The previous prime is 4214411223439. The next prime is 4214411223479. The reversal of 4214411223440 is 443221144124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4214411223440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4214411223397 and 4214411223406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185301 + ... + 3633780.

Almost surely, 2^{4214411223440} is an apocalyptic number.

4214411223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214411223440 is an abundant number, since it is smaller than the sum of its proper divisors (6487858180336).

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

4214411223440 is a wasteful number, since it uses less digits than its factorization.

4214411223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819928 (or 5819922 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4214411223440 its reverse (443221144124), we get a palindrome (4657632367564).

The spelling of 4214411223440 in words is "four trillion, two hundred fourteen billion, four hundred eleven million, two hundred twenty-three thousand, four hundred forty".