1414461120 has 112 divisors (see below), whose sum is σ = 4558149888. Its totient is φ = 371543040.

The previous prime is 1414461071. The next prime is 1414461127. The reversal of 1414461120 is 211644141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1414461127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53325 + ... + 75315.

Almost surely, 2^1414461120 is an apocalyptic number.

1414461120 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 1414461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279074944).

1414461120 is an abundant number, since it is smaller than the sum of its proper divisors (3143688768).

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

1414461120 is a wasteful number, since it uses less digits than its factorization.

1414461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22078 (or 22068 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1414461120 is about 37609.3222486128. The cubic root of 1414461120 is about 1122.5275400276.

The spelling of 1414461120 in words is "one billion, four hundred fourteen million, four hundred sixty-one thousand, one hundred twenty".