1411334820 has 384 divisors, whose sum is σ = 5416857600. Its totient is φ = 297851904.

The previous prime is 1411334807. The next prime is 1411334887. The reversal of 1411334820 is 284331141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3088032 + ... + 3088488.

It is an arithmetic number, because the mean of its divisors is an integer number (14106400).

Almost surely, 2^1411334820 is an apocalyptic number.

1411334820 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 1411334820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708428800).

1411334820 is an abundant number, since it is smaller than the sum of its proper divisors (4005522780).

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

1411334820 is a wasteful number, since it uses less digits than its factorization.

1411334820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1411334820 is about 37567.7364236921. The cubic root of 1411334820 is about 1121.6999111667.

Adding to 1411334820 its reverse (284331141), we get a palindrome (1695665961).

The spelling of 1411334820 in words is "one billion, four hundred eleven million, three hundred thirty-four thousand, eight hundred twenty".