438094782940 has 48 divisors (see below), whose sum is σ = 927395610624. Its totient is φ = 173829499200.

The previous prime is 438094782863. The next prime is 438094782971. The reversal of 438094782940 is 49287490834.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 22420975 + ... + 22440505.

It is an arithmetic number, because the mean of its divisors is an integer number (19320741888).

Almost surely, 2^438094782940 is an apocalyptic number.

It is an amenable number.

438094782940 is an abundant number, since it is smaller than the sum of its proper divisors (489300827684).

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

438094782940 is a wasteful number, since it uses less digits than its factorization.

438094782940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28498 (or 28496 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 438094782940 in words is "four hundred thirty-eight billion, ninety-four million, seven hundred eighty-two thousand, nine hundred forty".