444030342424240 has 480 divisors, whose sum is σ = 1295557991981568. Its totient is φ = 140338892390400.

The previous prime is 444030342424231. The next prime is 444030342424297. The reversal of 444030342424240 is 42424243030444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444030342424193 and 444030342424202.

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, 142800324 + ... + 145876636.

Almost surely, 2^{444030342424240} is an apocalyptic number.

444030342424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444030342424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647778995990784).

444030342424240 is an abundant number, since it is smaller than the sum of its proper divisors (851527649557328).

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

444030342424240 is a wasteful number, since it uses less digits than its factorization.

444030342424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076429 (or 3076412 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 444030342424240 its reverse (42424243030444), we get a palindrome (486454585454684).

The spelling of 444030342424240 in words is "four hundred forty-four trillion, thirty billion, three hundred forty-two million, four hundred twenty-four thousand, two hundred forty".