7444362240 has 704 divisors, whose sum is σ = 31048896000. Its totient is φ = 1690730496.

The previous prime is 7444362239. The next prime is 7444362293. The reversal of 7444362240 is 422634447.

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

It is a junction number, because it is equal to n+sod(n) for n = 7444362195 and 7444362204.

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, 47416242 + ... + 47416398.

Almost surely, 2^7444362240 is an apocalyptic number.

7444362240 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 7444362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524448000).

7444362240 is an abundant number, since it is smaller than the sum of its proper divisors (23604533760).

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

7444362240 is a wasteful number, since it uses less digits than its factorization.

7444362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 7444362240 is about 86280.7176604367. The cubic root of 7444362240 is about 1952.5814804432.

Adding to 7444362240 its reverse (422634447), we get a palindrome (7866996687).

The spelling of 7444362240 in words is "seven billion, four hundred forty-four million, three hundred sixty-two thousand, two hundred forty".