7096040121600 has 1296 divisors, whose sum is σ = 28154553493248. Its totient is φ = 1761969438720.

The previous prime is 7096040121589. The next prime is 7096040121613. The reversal of 7096040121600 is 61210406907.

7096040121600 is a `hidden beast` number, since 7 + 0 + 9 + 6 + 0 + 40 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2564523417 + ... + 2564526183.

Almost surely, 2^{7096040121600} 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 7096040121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14077276746624).

7096040121600 is an abundant number, since it is smaller than the sum of its proper divisors (21058513371648).

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

7096040121600 is a wasteful number, since it uses less digits than its factorization.

7096040121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 7096040121600 in words is "seven trillion, ninety-six billion, forty million, one hundred twenty-one thousand, six hundred".