7530098400444 has 192 divisors, whose sum is σ = 19670636160000. Its totient is φ = 2229742682112.

The previous prime is 7530098400439. The next prime is 7530098400463. The reversal of 7530098400444 is 4440048900357.

It is a junction number, because it is equal to n+sod(n) for n = 7530098400393 and 7530098400402.

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, 208358344 + ... + 208394480.

It is an arithmetic number, because the mean of its divisors is an integer number (102451230000).

Almost surely, 2^{7530098400444} 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 7530098400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835318080000).

7530098400444 is an abundant number, since it is smaller than the sum of its proper divisors (12140537759556).

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

7530098400444 is a wasteful number, since it uses less digits than its factorization.

7530098400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36772 (or 36770 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 7530098400444 in words is "seven trillion, five hundred thirty billion, ninety-eight million, four hundred thousand, four hundred forty-four".