244321414433040 has 960 divisors, whose sum is σ = 926251075065600. Its totient is φ = 53044776271872.

The previous prime is 244321414433039. The next prime is 244321414433099. The reversal of 244321414433040 is 40334414123442.

It is a happy number.

It is a super-2 number, since 2×244321414433040² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244321414433040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18485384512 + ... + 18485397728.

It is an arithmetic number, because the mean of its divisors is an integer number (964844869860).

Almost surely, 2^{244321414433040} is an apocalyptic number.

244321414433040 is a gapful number since it is divisible by the number (20) 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 244321414433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463125537532800).

244321414433040 is an abundant number, since it is smaller than the sum of its proper divisors (681929660632560).

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

244321414433040 is a wasteful number, since it uses less digits than its factorization.

244321414433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 244321414433040 its reverse (40334414123442), we get a palindrome (284655828556482).

The spelling of 244321414433040 in words is "two hundred forty-four trillion, three hundred twenty-one billion, four hundred fourteen million, four hundred thirty-three thousand, forty".