1340881920 has 264 divisors, whose sum is σ = 5311129824. Its totient is φ = 306413568.

The previous prime is 1340881907. The next prime is 1340881957. The reversal of 1340881920 is 291880431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320482 + ... + 324638.

It is an arithmetic number, because the mean of its divisors is an integer number (20117916).

Almost surely, 2^1340881920 is an apocalyptic number.

1340881920 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 1340881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655564912).

1340881920 is an abundant number, since it is smaller than the sum of its proper divisors (3970247904).

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

1340881920 is a wasteful number, since it uses less digits than its factorization.

1340881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1340881920 is about 36618.0545632889. The cubic root of 1340881920 is about 1102.7155825049.

The spelling of 1340881920 in words is "one billion, three hundred forty million, eight hundred eighty-one thousand, nine hundred twenty".