1416112920 has 384 divisors, whose sum is σ = 5155488000. Its totient is φ = 335462400.

The previous prime is 1416112897. The next prime is 1416112927. The reversal of 1416112920 is 292116141.

1416112920 is a `hidden beast` number, since 1 + 4 + 1 + 611 + 29 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416112927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14020870 + ... + 14020970.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^1416112920 is an apocalyptic number.

1416112920 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 1416112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577744000).

1416112920 is an abundant number, since it is smaller than the sum of its proper divisors (3739375080).

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

1416112920 is a wasteful number, since it uses less digits than its factorization.

1416112920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1416112920 is about 37631.2758221137. The cubic root of 1416112920 is about 1122.9643305624.

The spelling of 1416112920 in words is "one billion, four hundred sixteen million, one hundred twelve thousand, nine hundred twenty".