36408140442 has 128 divisors (see below), whose sum is σ = 87278284800. Its totient is φ = 11213769600.

The previous prime is 36408140441. The next prime is 36408140449. The reversal of 36408140442 is 24404180463.

36408140442 is a `hidden beast` number, since 3 + 640 + 8 + 1 + 4 + 0 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36408140397 and 36408140406.

It is not an unprimeable number, because it can be changed into a prime (36408140441) 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, 15960342 + ... + 15962622.

It is an arithmetic number, because the mean of its divisors is an integer number (681861600).

Almost surely, 2^36408140442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36408140442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43639142400).

36408140442 is an abundant number, since it is smaller than the sum of its proper divisors (50870144358).

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

36408140442 is a wasteful number, since it uses less digits than its factorization.

36408140442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 36408140442 in words is "thirty-six billion, four hundred eight million, one hundred forty thousand, four hundred forty-two".