744442425024340 has 192 divisors, whose sum is σ = 1871367099678720. Its totient is φ = 243220411653120.

The previous prime is 744442425024323. The next prime is 744442425024449. The reversal of 744442425024340 is 43420524244447.

It is a super-2 number, since 2×744442425024340² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15378158056 + ... + 15378206464.

It is an arithmetic number, because the mean of its divisors is an integer number (9746703644160).

Almost surely, 2^{744442425024340} is an apocalyptic number.

744442425024340 is a gapful number since it is divisible by the number (70) 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 744442425024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935683549839360).

744442425024340 is an abundant number, since it is smaller than the sum of its proper divisors (1126924674654380).

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

744442425024340 is a wasteful number, since it uses less digits than its factorization.

744442425024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66342 (or 66340 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 49.

Adding to 744442425024340 its reverse (43420524244447), we get a palindrome (787862949268787).

The spelling of 744442425024340 in words is "seven hundred forty-four trillion, four hundred forty-two billion, four hundred twenty-five million, twenty-four thousand, three hundred forty".