440078742824 has 384 divisors, whose sum is σ = 1094731545600. Its totient is φ = 161873510400.

The previous prime is 440078742821. The next prime is 440078742869. The reversal of 440078742824 is 428247870044.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (440078742821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097453024 + ... + 1097453424.

It is an arithmetic number, because the mean of its divisors is an integer number (2850863400).

Almost surely, 2^440078742824 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 440078742824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547365772800).

440078742824 is an abundant number, since it is smaller than the sum of its proper divisors (654652802776).

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

440078742824 is a wasteful number, since it uses less digits than its factorization.

440078742824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 50.

The spelling of 440078742824 in words is "four hundred forty billion, seventy-eight million, seven hundred forty-two thousand, eight hundred twenty-four".