4023495386064 has 2400 divisors, whose sum is σ = 16347398144000. Its totient is φ = 950578675200.

The previous prime is 4023495385997. The next prime is 4023495386089. The reversal of 4023495386064 is 4606835943204.

4023495386064 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 49 + 538 + 6 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4023495386064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31681065969 + ... + 31681066095.

Almost surely, 2^{4023495386064} is an apocalyptic number.

4023495386064 is a gapful number since it is divisible by the number (44) 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 4023495386064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173699072000).

4023495386064 is an abundant number, since it is smaller than the sum of its proper divisors (12323902757936).

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

4023495386064 is a wasteful number, since it uses less digits than its factorization.

4023495386064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 4023495386064 in words is "four trillion, twenty-three billion, four hundred ninety-five million, three hundred eighty-six thousand, sixty-four".