1340201984 has 88 divisors (see below), whose sum is σ = 2991698688. Its totient is φ = 594800640.

The previous prime is 1340201983. The next prime is 1340202007. The reversal of 1340201984 is 4891020431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×1340201984² = 3592282715835072512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1340201984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340201983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482969 + ... + 485735.

It is an arithmetic number, because the mean of its divisors is an integer number (33996576).

Almost surely, 2^1340201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495849344).

1340201984 is an abundant number, since it is smaller than the sum of its proper divisors (1651496704).

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

1340201984 is a wasteful number, since it uses less digits than its factorization.

1340201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1340201984 is about 36608.7692226876. The cubic root of 1340201984 is about 1102.5291622146.

The spelling of 1340201984 in words is "one billion, three hundred forty million, two hundred one thousand, nine hundred eighty-four".