440464787464044 has 384 divisors, whose sum is σ = 1265364243763200. Its totient is φ = 116592537600000.

The previous prime is 440464787464027. The next prime is 440464787464049.

It is a happy number.

440464787464044 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (440464787464049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1523064292 + ... + 1523353460.

It is an arithmetic number, because the mean of its divisors is an integer number (3295219384800).

Almost surely, 2^{440464787464044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440464787464044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632682121881600).

440464787464044 is an abundant number, since it is smaller than the sum of its proper divisors (824899456299156).

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

440464787464044 is a wasteful number, since it uses less digits than its factorization.

440464787464044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289505 (or 289503 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 66.

The spelling of 440464787464044 in words is "four hundred forty trillion, four hundred sixty-four billion, seven hundred eighty-seven million, four hundred sixty-four thousand, forty-four".