1340871840 has 768 divisors, whose sum is σ = 6096384000. Its totient is φ = 267079680.

The previous prime is 1340871827. The next prime is 1340871841. The reversal of 1340871840 is 481780431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1340871795 and 1340871804.

It is not an unprimeable number, because it can be changed into a prime (1340871841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9646491 + ... + 9646629.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^1340871840 is an apocalyptic number.

1340871840 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 1340871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

1340871840 is an abundant number, since it is smaller than the sum of its proper divisors (4755512160).

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

1340871840 is a wasteful number, since it uses less digits than its factorization.

1340871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1340871840 is about 36617.9169260077. The cubic root of 1340871840 is about 1102.7128192984.

The spelling of 1340871840 in words is "one billion, three hundred forty million, eight hundred seventy-one thousand, eight hundred forty".