36281821440 has 144 divisors (see below), whose sum is σ = 116089944768. Its totient is φ = 9657212928.

The previous prime is 36281821421. The next prime is 36281821463. The reversal of 36281821440 is 4412818263.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130399 + ... + 2147361.

It is an arithmetic number, because the mean of its divisors is an integer number (806180172).

Almost surely, 2^36281821440 is an apocalyptic number.

36281821440 is a gapful number since it is divisible by the number (30) 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 36281821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58044972384).

36281821440 is an abundant number, since it is smaller than the sum of its proper divisors (79808123328).

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

36281821440 is a wasteful number, since it uses less digits than its factorization.

36281821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17544 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 36281821440 in words is "thirty-six billion, two hundred eighty-one million, eight hundred twenty-one thousand, four hundred forty".