440640046044 has 36 divisors (see below), whose sum is σ = 1215098309880. Its totient is φ = 133527286560.

The previous prime is 440640046043. The next prime is 440640046073.

440640046044 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 40 + 0 + 4 + 604 + 4 = 666.

440640046044 is nontrivially palindromic in base 10.

440640046044 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440640046043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556363299 + ... + 556364090.

It is an arithmetic number, because the mean of its divisors is an integer number (33752730830).

Almost surely, 2^440640046044 is an apocalyptic number.

440640046044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440640046044 is an abundant number, since it is smaller than the sum of its proper divisors (774458263836).

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

440640046044 is a wasteful number, since it uses less digits than its factorization.

440640046044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112727410 (or 1112727405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 440640046044 in words is "four hundred forty billion, six hundred forty million, forty-six thousand, forty-four".