1340414010 has 96 divisors (see below), whose sum is σ = 3916418688. Its totient is φ = 315596160.

The previous prime is 1340413981. The next prime is 1340414021. The reversal of 1340414010 is 104140431.

1340414010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005 + ... + 51815.

It is an arithmetic number, because the mean of its divisors is an integer number (40796028).

Almost surely, 2^1340414010 is an apocalyptic number.

1340414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958209344).

1340414010 is an abundant number, since it is smaller than the sum of its proper divisors (2576004678).

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

1340414010 is a wasteful number, since it uses less digits than its factorization.

1340414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49860 (or 49857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1340414010 is about 36611.6649443862. The cubic root of 1340414010 is about 1102.5873008445.

Adding to 1340414010 its reverse (104140431), we get a palindrome (1444554441).

The spelling of 1340414010 in words is "one billion, three hundred forty million, four hundred fourteen thousand, ten".