7406123130000 has 900 divisors, whose sum is σ = 30943876211820. Its totient is φ = 1647039744000.

The previous prime is 7406123129983. The next prime is 7406123130019. The reversal of 7406123130000 is 313216047.

7406123130000 is a `hidden beast` number, since 7 + 40 + 612 + 3 + 1 + 3 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3254358272256 + 4151764857744 = 1803984^2 + 2037588^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 163147306 + ... + 163192694.

Almost surely, 2^{7406123130000} is an apocalyptic number.

7406123130000 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 7406123130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471938105910).

7406123130000 is an abundant number, since it is smaller than the sum of its proper divisors (23537753081820).

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

7406123130000 is a wasteful number, since it uses less digits than its factorization.

7406123130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45474 (or 45443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 7406123130000 its reverse (313216047), we get a palindrome (7406436346047).

The spelling of 7406123130000 in words is "seven trillion, four hundred six billion, one hundred twenty-three million, one hundred thirty thousand".