1341406080 has 768 divisors, whose sum is σ = 5957452800. Its totient is φ = 270729216.

The previous prime is 1341406067. The next prime is 1341406081. The reversal of 1341406080 is 806041431.

1341406080 is a `hidden beast` number, since 13 + 4 + 1 + 40 + 608 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341406081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023309 + ... + 13023411.

It is an arithmetic number, because the mean of its divisors is an integer number (7757100).

Almost surely, 2^1341406080 is an apocalyptic number.

1341406080 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 1341406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978726400).

1341406080 is an abundant number, since it is smaller than the sum of its proper divisors (4616046720).

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

1341406080 is a wasteful number, since it uses less digits than its factorization.

1341406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1341406080 is about 36625.2109891534. The cubic root of 1341406080 is about 1102.8592501644.

The spelling of 1341406080 in words is "one billion, three hundred forty-one million, four hundred six thousand, eighty".