1342240416 has 288 divisors, whose sum is σ = 4432155840. Its totient is φ = 394606080.

The previous prime is 1342240381. The next prime is 1342240441. The reversal of 1342240416 is 6140422431.

It is a happy number.

1342240416 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 240 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1342240416.

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, 3867955 + ... + 3868301.

It is an arithmetic number, because the mean of its divisors is an integer number (15389430).

Almost surely, 2^1342240416 is an apocalyptic number.

1342240416 is a gapful number since it is divisible by the number (16) 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 1342240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216077920).

1342240416 is an abundant number, since it is smaller than the sum of its proper divisors (3089915424).

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

1342240416 is a wasteful number, since it uses less digits than its factorization.

1342240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1342240416 is about 36636.5994055125. The cubic root of 1342240416 is about 1103.0878571663.

Adding to 1342240416 its reverse (6140422431), we get a palindrome (7482662847).

The spelling of 1342240416 in words is "one billion, three hundred forty-two million, two hundred forty thousand, four hundred sixteen".