1342978560 has 480 divisors, whose sum is σ = 5806449792. Its totient is φ = 278691840.

The previous prime is 1342978513. The next prime is 1342978573. The reversal of 1342978560 is 658792431.

1342978560 is a `hidden beast` number, since 13 + 4 + 2 + 9 + 78 + 560 = 666.

1342978560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

1342978560 is strictly pandigital in base 10.

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, 1773702 + ... + 1774458.

It is a 1-persistent number, because it is pandigital, but 2⋅1342978560 = 2685957120 is not.

It is a vampire number, since it can be written as 24981 ⋅ 53760 (with its own digits).

Almost surely, 2^1342978560 is an apocalyptic number.

1342978560 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 1342978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903224896).

1342978560 is an abundant number, since it is smaller than the sum of its proper divisors (4463471232).

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

1342978560 is a wasteful number, since it uses less digits than its factorization.

1342978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1342978560 is about 36646.6718816320. The cubic root of 1342978560 is about 1103.2900287147.

The spelling of 1342978560 in words is "one billion, three hundred forty-two million, nine hundred seventy-eight thousand, five hundred sixty".