4114467420000 has 480 divisors, whose sum is σ = 15752567964672. Its totient is φ = 920435712000.

The previous prime is 4114467419999. The next prime is 4114467420001. The reversal of 4114467420000 is 247644114.

It is an interprime number because it is at equal distance from previous prime (4114467419999) and next prime (4114467420001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114467420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19635784 + ... + 19844216.

Almost surely, 2^{4114467420000} is an apocalyptic number.

4114467420000 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 4114467420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876283982336).

4114467420000 is an abundant number, since it is smaller than the sum of its proper divisors (11638100544672).

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

4114467420000 is a wasteful number, since it uses less digits than its factorization.

4114467420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208520 (or 208497 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 4114467420000 in words is "four trillion, one hundred fourteen billion, four hundred sixty-seven million, four hundred twenty thousand".