7282287383040 has 1280 divisors, whose sum is σ = 27429494400000. Its totient is φ = 1828855480320.

The previous prime is 7282287383017. The next prime is 7282287383089. The reversal of 7282287383040 is 403837822827.

7282287383040 is a `hidden beast` number, since 7 + 28 + 2 + 287 + 38 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20866152786 + ... + 20866153134.

It is an arithmetic number, because the mean of its divisors is an integer number (21429292500).

Almost surely, 2^{7282287383040} 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 7282287383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714747200000).

7282287383040 is an abundant number, since it is smaller than the sum of its proper divisors (20147207016960).

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

7282287383040 is a wasteful number, since it uses less digits than its factorization.

7282287383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 7282287383040 in words is "seven trillion, two hundred eighty-two billion, two hundred eighty-seven million, three hundred eighty-three thousand, forty".