1416421120 has 144 divisors (see below), whose sum is σ = 3605616000. Its totient is φ = 531615744.

The previous prime is 1416421073. The next prime is 1416421243. The reversal of 1416421120 is 211246141.

It is a junction number, because it is equal to n+sod(n) for n = 1416421091 and 1416421100.

It is a congruent number.

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, 3380271 + ... + 3380689.

It is an arithmetic number, because the mean of its divisors is an integer number (25039000).

Almost surely, 2^1416421120 is an apocalyptic number.

1416421120 is a gapful number since it is divisible by the number (10) 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 1416421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802808000).

1416421120 is an abundant number, since it is smaller than the sum of its proper divisors (2189194880).

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

1416421120 is a wasteful number, since it uses less digits than its factorization.

1416421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1416421120 is about 37635.3705973516. The cubic root of 1416421120 is about 1123.0457912277.

Adding to 1416421120 its reverse (211246141), we get a palindrome (1627667261).

The spelling of 1416421120 in words is "one billion, four hundred sixteen million, four hundred twenty-one thousand, one hundred twenty".