1364541444 has 96 divisors (see below), whose sum is σ = 4079120640. Its totient is φ = 386394624.

The previous prime is 1364541349. The next prime is 1364541473. The reversal of 1364541444 is 4441454631.

1364541444 is a `hidden beast` number, since 1 + 3 + 645 + 4 + 1 + 4 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1364541399 and 1364541408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77442 + ... + 93414.

It is an arithmetic number, because the mean of its divisors is an integer number (42490840).

Almost surely, 2^1364541444 is an apocalyptic number.

1364541444 is a gapful number since it is divisible by the number (14) 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 1364541444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039560320).

1364541444 is an abundant number, since it is smaller than the sum of its proper divisors (2714579196).

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

1364541444 is a wasteful number, since it uses less digits than its factorization.

1364541444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16106 (or 16098 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1364541444 is about 36939.7001070664. The cubic root of 1364541444 is about 1109.1635188112.

The spelling of 1364541444 in words is "one billion, three hundred sixty-four million, five hundred forty-one thousand, four hundred forty-four".