7444126430640 has 200 divisors, whose sum is σ = 25861102835568. Its totient is φ = 1984597562880.

The previous prime is 7444126430627. The next prime is 7444126430791. The reversal of 7444126430640 is 460346214447.

7444126430640 is a `hidden beast` number, since 7 + 4 + 4 + 41 + 264 + 306 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25795950 + ... + 26082930.

Almost surely, 2^{7444126430640} 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 7444126430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930551417784).

7444126430640 is an abundant number, since it is smaller than the sum of its proper divisors (18416976404928).

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

7444126430640 is a wasteful number, since it uses less digits than its factorization.

7444126430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291009 (or 290994 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 7444126430640 in words is "seven trillion, four hundred forty-four billion, one hundred twenty-six million, four hundred thirty thousand, six hundred forty".