1341264672 has 144 divisors (see below), whose sum is σ = 4196556000. Its totient is φ = 406327680.

The previous prime is 1341264667. The next prime is 1341264707. The reversal of 1341264672 is 2764621431.

1341264672 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381579 + ... + 385077.

It is an arithmetic number, because the mean of its divisors is an integer number (29142750).

Almost surely, 2^1341264672 is an apocalyptic number.

1341264672 is a gapful number since it is divisible by the number (12) 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 1341264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098278000).

1341264672 is an abundant number, since it is smaller than the sum of its proper divisors (2855291328).

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

1341264672 is a wasteful number, since it uses less digits than its factorization.

1341264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3515 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1341264672 is about 36623.2804647536. The cubic root of 1341264672 is about 1102.8204951586.

The spelling of 1341264672 in words is "one billion, three hundred forty-one million, two hundred sixty-four thousand, six hundred seventy-two".