364140041463 has 96 divisors (see below), whose sum is σ = 615790086912. Its totient is φ = 204910617600.

The previous prime is 364140041449. The next prime is 364140041471.

364140041463 is a `hidden beast` number, since 3 + 641 + 4 + 0 + 0 + 4 + 1 + 4 + 6 + 3 = 666.

364140041463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 364140041463 - 2²⁰ = 364138992887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364140041443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38137056 + ... + 38146602.

It is an arithmetic number, because the mean of its divisors is an integer number (6414480072).

Almost surely, 2^364140041463 is an apocalyptic number.

364140041463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

364140041463 is a deficient number, since it is larger than the sum of its proper divisors (251650045449).

364140041463 is a wasteful number, since it uses less digits than its factorization.

364140041463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 3641400 and 41463, that added together give a palindrome (3682863).

The spelling of 364140041463 in words is "three hundred sixty-four billion, one hundred forty million, forty-one thousand, four hundred sixty-three".