1416056120 has 64 divisors (see below), whose sum is σ = 3254256000. Its totient is φ = 554364928.

The previous prime is 1416056107. The next prime is 1416056137. The reversal of 1416056120 is 216506141.

It is a self number, because there is not a number n which added to its sum of digits gives 1416056120.

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, 1523816 + ... + 1524744.

It is an arithmetic number, because the mean of its divisors is an integer number (50847750).

Almost surely, 2^1416056120 is an apocalyptic number.

1416056120 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 1416056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627128000).

1416056120 is an abundant number, since it is smaller than the sum of its proper divisors (1838199880).

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

1416056120 is a wasteful number, since it uses less digits than its factorization.

1416056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1416056120 is about 37630.5211231521. The cubic root of 1416056120 is about 1122.9493164050.

The spelling of 1416056120 in words is "one billion, four hundred sixteen million, fifty-six thousand, one hundred twenty".