7141682410425 has 144 divisors (see below), whose sum is σ = 13392906357168. Its totient is φ = 3633920409600.

The previous prime is 7141682410361. The next prime is 7141682410427. The reversal of 7141682410425 is 5240142861417.

7141682410425 is a `hidden beast` number, since 7 + 141 + 6 + 82 + 4 + 1 + 0 + 425 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2812902563241 + 4328779847184 = 1677171^2 + 2080572^2 .

It is not a de Polignac number, because 7141682410425 - 2⁶ = 7141682410361 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (7141682410427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1002900865 + ... + 1002907985.

It is an arithmetic number, because the mean of its divisors is an integer number (93006294147).

Almost surely, 2^{7141682410425} is an apocalyptic number.

7141682410425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7141682410425 is a deficient number, since it is larger than the sum of its proper divisors (6251223946743).

7141682410425 is a wasteful number, since it uses less digits than its factorization.

7141682410425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 7141682410425 in words is "seven trillion, one hundred forty-one billion, six hundred eighty-two million, four hundred ten thousand, four hundred twenty-five".