40305406644 has 18 divisors (see below), whose sum is σ = 101883111330. Its totient is φ = 13435135536.

The previous prime is 40305406639. The next prime is 40305406651. The reversal of 40305406644 is 44660450304.

40305406644 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 5 + 4 + 0 + 6 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40292532900 + 12873744 = 200730^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×40305406644³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1119594629 = 40305406644 / (4 + 0 + 3 + 0 + 5 + 4 + 0 + 6 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 40305406599 and 40305406608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559797279 + ... + 559797350.

Almost surely, 2^40305406644 is an apocalyptic number.

It is an amenable number.

40305406644 is an abundant number, since it is smaller than the sum of its proper divisors (61577704686).

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

40305406644 is a wasteful number, since it uses less digits than its factorization.

40305406644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119594639 (or 1119594634 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 40305406644 its reverse (44660450304), we get a palindrome (84965856948).

The spelling of 40305406644 in words is "forty billion, three hundred five million, four hundred six thousand, six hundred forty-four".