7121382585408 has 672 divisors, whose sum is σ = 25450488860160. Its totient is φ = 1853818306560.

The previous prime is 7121382585397. The next prime is 7121382585409. The reversal of 7121382585408 is 8045852831217.

It is a happy number.

7121382585408 is a `hidden beast` number, since 7 + 1 + 2 + 13 + 8 + 2 + 585 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (7121382585409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299756813 + ... + 1299762291.

It is an arithmetic number, because the mean of its divisors is an integer number (37872751280).

Almost surely, 2^{7121382585408} is an apocalyptic number.

7121382585408 is a gapful number since it is divisible by the number (78) 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 7121382585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725244430080).

7121382585408 is an abundant number, since it is smaller than the sum of its proper divisors (18329106274752).

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

7121382585408 is a wasteful number, since it uses less digits than its factorization.

7121382585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 7121382585408 in words is "seven trillion, one hundred twenty-one billion, three hundred eighty-two million, five hundred eighty-five thousand, four hundred eight".