1342414080 has 576 divisors, whose sum is σ = 5651251200. Its totient is φ = 295280640.

The previous prime is 1342414069. The next prime is 1342414081. The reversal of 1342414080 is 804142431.

1342414080 is a `hidden beast` number, since 13 + 4 + 241 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342414081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499431 + ... + 7499609.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^1342414080 is an apocalyptic number.

1342414080 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 1342414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600).

1342414080 is an abundant number, since it is smaller than the sum of its proper divisors (4308837120).

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

1342414080 is a wasteful number, since it uses less digits than its factorization.

1342414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1342414080 is about 36638.9694178207. The cubic root of 1342414080 is about 1103.1354289689.

The spelling of 1342414080 in words is "one billion, three hundred forty-two million, four hundred fourteen thousand, eighty".