421111416 has 128 divisors (see below), whose sum is σ = 1207664640. Its totient is φ = 121123200.

The previous prime is 421111391. The next prime is 421111417. The reversal of 421111416 is 614111124.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421111392 and 421111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421111417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353901 + ... + 1354211.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^421111416 is an apocalyptic number.

421111416 is a gapful number since it is divisible by the number (46) 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 421111416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

421111416 is an abundant number, since it is smaller than the sum of its proper divisors (786553224).

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

421111416 is a wasteful number, since it uses less digits than its factorization.

421111416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 421111416 is about 20520.9993908679. Note that the first 3 decimals coincide. The cubic root of 421111416 is about 749.5472325016.

The spelling of 421111416 in words is "four hundred twenty-one million, one hundred eleven thousand, four hundred sixteen".