1340211120 has 80 divisors (see below), whose sum is σ = 4164242400. Its totient is φ = 356564992.

The previous prime is 1340211029. The next prime is 1340211121. The reversal of 1340211120 is 211120431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1340211120.

It is not an unprimeable number, because it can be changed into a prime (1340211121) 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, 101542 + ... + 113978.

It is an arithmetic number, because the mean of its divisors is an integer number (52053030).

Almost surely, 2^1340211120 is an apocalyptic number.

1340211120 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 1340211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082121200).

1340211120 is an abundant number, since it is smaller than the sum of its proper divisors (2824031280).

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

1340211120 is a wasteful number, since it uses less digits than its factorization.

1340211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1340211120 is about 36608.8940013216. The cubic root of 1340211120 is about 1102.5316674796.

Adding to 1340211120 its reverse (211120431), we get a palindrome (1551331551).

The spelling of 1340211120 in words is "one billion, three hundred forty million, two hundred eleven thousand, one hundred twenty".