444340040313420 has 288 divisors, whose sum is σ = 1416575224995840. Its totient is φ = 112523905528320.

The previous prime is 444340040313409. The next prime is 444340040313493. The reversal of 444340040313420 is 24313040043444.

444340040313420 is a `hidden beast` number, since 4 + 443 + 40 + 0 + 40 + 3 + 134 + 2 + 0 = 666.

It is a super-3 number, since 3×444340040313420³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401934667 + ... + 403038653.

It is an arithmetic number, because the mean of its divisors is an integer number (4918663975680).

Almost surely, 2^{444340040313420} 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 444340040313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708287612497920).

444340040313420 is an abundant number, since it is smaller than the sum of its proper divisors (972235184682420).

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

444340040313420 is a wasteful number, since it uses less digits than its factorization.

444340040313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104725 (or 1104720 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444340040313420 its reverse (24313040043444), we get a palindrome (468653080356864).

The spelling of 444340040313420 in words is "four hundred forty-four trillion, three hundred forty billion, forty million, three hundred thirteen thousand, four hundred twenty".