418044782772 has 72 divisors (see below), whose sum is σ = 1116670027200. Its totient is φ = 131500412928.

The previous prime is 418044782731. The next prime is 418044782803. The reversal of 418044782772 is 277287440814.

418044782772 is a `hidden beast` number, since 4 + 1 + 80 + 4 + 478 + 27 + 72 = 666.

It is a super-2 number, since 2×418044782772² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1013272 + ... + 1364847.

Almost surely, 2^418044782772 is an apocalyptic number.

It is an amenable number.

418044782772 is an abundant number, since it is smaller than the sum of its proper divisors (698625244428).

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

418044782772 is a wasteful number, since it uses less digits than its factorization.

418044782772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378405 (or 2378400 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 418044782772 in words is "four hundred eighteen billion, forty-four million, seven hundred eighty-two thousand, seven hundred seventy-two".